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Fractions topics for elementary kids

Below are the elementary topics available for the category "Fractions" at Free Math Games.

These free math topics with audio offer a complete set of basic Fractions topics for elementary pupils (Kindergarten to 5th grade, ages 5 to 11). The Fractions category is divided into sub-categories such as " Compare fractions", " Order fractions", " Fractions of a quantity", etc. Each sub-category has multiple topics with between 6 and 10 question and answer pairs for the lessons, plus additional question answer pairs for the games and tests.

For each question/answer pair in a topic you get the question as picture, equation or text, the spoken question read by a robot, and an answer as both number or text and as audio. For most topics there are also 3 wrong answers prepared for each question.

Kindergarten (3 topics)

Fractions ➔ Name fractions

½ or ¼
Half or quarter
In the pictures, is the part shaded red a half or a quarter of the whole thing?

Fractions ➔ Fractions of numbers

½ of 2
Half of a number
Choose the correct answer for half of each of these numbers
¼ of 4
Quarter of a number
Choose the correct answer for a quarter of a number

1st grade (11 topics)

Fractions ➔ Name fractions

Name the fraction shaded red
Select the correct name for the fraction of each shape that is red

Fractions ➔ Fractions of things

Half of something
Choose the picture which shows half of a thing or quantity
Quarter of something
Choose the picture that shows quarter of a thing or quantity
Three quarters of something
Choose the picture that shows three quarters of a thing or quantity
One third of something
Choose the picture that shows one third of a thing or quantity

Fractions ➔ Fractions of numbers

½ of 18
Half of a number
Choose the correct answer for half of each of these numbers
¼ of 24
Quarter of a number
For each number, decide what a quarter of that number will be
⅓ of 9
One third of a number
Choose the correct answer for a third of a number

Fractions ➔ Number line

Number line of halves
Identify the missing fraction values in the number lines
Number line of quarters
Choose the missing fraction values in the number line of quarters
Number line of thirds
Identify the missing fraction values in a number line of thirds

2nd grade (17 topics)

Fractions ➔ Name fractions

What fraction of the squares are red?
Count up the red squares to calculate what fraction of the whole they make
Naming fractions
Select the correct name for these fractions
½ ⅓ ¼
Identify unit fractions
Identify unit fractions: fractions where the top number is a one e.g. ½ and ⅓

Fractions ➔ Create fractions

Fractions from division by 10
What fractions are made when numbers are divided by 10?

Fractions ➔ Compare fractions

=
Which fractions are equivalent
Decide if the pairs of fractions are equivalent / the same size
½ > ¼
Which fraction is bigger?
For each pair of fractions, choose which one would be the bigger share of a whole

Fractions ➔ Fractions of amounts

⅕ of 5
1/5 of an amount
Choose the correct answer for one fifth of a whole number
⅒ of 10
1/10 of an amount
Choose the correct answer for one tenth of a whole number

Fractions ➔ Number line

Number line of fifths
From the one fifths number line choose the correct fraction values
Number line of tenths
From the 1/10 number line choose the correct fraction value

Fractions ➔ Add fractions

⅓ + ⅓
Add fractions: same denominator
Add two fractions with the same denominator that is below 10
⅒ + ⅒
Add fractions: denominator 10 to 20
Add two fractions with the same denominator between 10 & 20

Fractions ➔ Fractions and division

½ of 10
Identify fraction operators
Which divisions produce the same results as the given fraction operators?

Fractions ➔ Fractions and decimals

½ = 0.5
Equivalent sizes
Identify the decimals and fractions that are the same size
0.6 > ½
Decimal greater than fraction
Identify the decimal that is greater than the fraction
0.4 < ½
Decimal less than fraction
Identify the decimal that is less than the fraction
⅖ ⅗ ⅘
Order fractions from smallest to largest
Re-arrange each set of fractions so that they are listed from smallest to largest

3rd grade (25 topics)

Fractions ➔ Name fractions

What (simplified) fraction is shaded
Count up the parts shaded red to calculate the fraction and reduce the answer to it's simplest form
½ ⅓ ¼
Identify unit fractions
Identify unit fractions and fractions that simplify to unit fractions

Fractions ➔ Compare fractions

Identify equivalent fractions
Choose which two fractions are equivalent
½ > ¼
Which fraction is biggest
Choose the largest fraction from the selection
¼ < ½
Which fraction is smallest
Choose the smallest fraction from the selection

Fractions ➔ Fractions of money

⅙ of an amount
Choose the correct answer for 1/6th of a monetary amounts
⅐ of an amount
Choose the correct answer for 1/7th of a monetary amounts
⅛ of an amount
Choose the correct answer for 1/8th of a monetary amount

Fractions ➔ Fractions of measures

½ of 2 ml
Fractions of a measure
Calculate what the given fraction (¼, ½, ¾) of each decimal amount will be e.g. ¼ of 400 ml

Fractions ➔ Number line

Number line of fifths
From the one fifths number line choose the correct fraction values
Number line of tenths
From the 1/10 number line choose the correct fraction value

Fractions ➔ Fractions to percent

⅕ = 20%
Fraction to percent
What is the percentage equivalent of these fractions?

Fractions ➔ Add fractions

⅓ + ⅓
Add fractions: same denominator below 10
Add fractions with the same denominator below 10
Add fractions: denominators 10 to 20
Add fractions with the same denominator between 10 & 20
Add fractions: denominators of 100
Add pairs of fractions with the same denominator of 100
¼ + ½
Add fractions: different denominators
Add fractions by changing the smaller denominator into the larger denominator

Fractions ➔ Subtract fractions

⅗ - ⅕
Subtract fractions: denominators below 10
Subtract fractions with the same denominators below 10
Subtract fractions: denominators 10 to 20
Subtract pairs of fractions with the same denominators between 10 & 20
Subtract fractions: denominators of 100
Subtract pairs of fractions with the same denominator of 100

Fractions ➔ Decimals

0.11 > 0.99
Compare decimals: biggest
Identify the largest of these 1 or 2 decimal place decimals
0.99 < 1.11
Compare decimals: smallest
Identify the smallest of these 1 and 2 decimal place decimals
0.99
Round decimals to the nearest whole number
Round these decimal numbers to the nearest whole number

Fractions ➔ Fractions and decimals

Equivalent sizes
Identify the decimals and fractions that are the equivalent size
⅖ ⅗ ⅘
Order fractions ascending
Arrange these lists of fractions in ascending order (from smallest to largest)
¼ 0.5 ¾
Order fractions & decimals
Arrange the fractions and decimals in ascending order

4th grade (27 topics)

Fractions ➔ Compare fractions

Equivalent fractions
Choose which two fractions are equivalent in size
Which fraction is biggest
Choose the biggest fraction from the selection
Which fraction is smallest
Choose the smallest fraction from the selection
½ x ¼
Half of a fraction
Choose the fraction that is half the size of the given fraction
2 x ⅕
Double a fraction
Choose the fraction that is double the size of the given fraction
Order fractions ascending
Arrange these lists of fractions in ascending order of size

Fractions ➔ Fractions of amounts

⅔ of 39
Two thirds of an amount
Choose the correct answer for two thirds of a whole number
⅖ of 65
Two fifths of an amount
Choose the correct answer for two fifths of a whole number

Fractions ➔ Convert fractions

Mixed fractions to top-heavy fractions
Convert these mixed fractions to top-heavy or improper fractions
Top-heavy fractions to mixed fractions
Convert these top-heavy fractions to mixed fractions
Simplify fractions: cancel zeros
Cancel zeros top and bottom to simplify the fractions
Simplify fractions: halve even numbers
Halve even numbers top and bottom to simplify the fractions
Simplify fractions: common factors
Divide top and bottom by a common factor to simplify

Fractions ➔ Add fractions

⅓ + ⅓
Add fractions: denominators < 10
Add fractions with the same denominator below 10
Add fractions: denominators 10 to 20
Add fractions with the same denominator between 10 & 20
⅕ + ⅒
Add fractions: different denominators
Add fractions with different denominators by multiplying to scale up the smaller denominator

Fractions ➔ Subtract fractions

⅗ - ⅕
Subtract fractions: denominators < 10
Subtract fractions with the same denominators below 10
Subtract fractions: denominators 10 to 20
Subtract fractions with the same denominators between 10 & 20
2¼ - 1¾
Subtract mixed fractions with borrowing
Use borrowing to subtract mixed fractions

Fractions ➔ Multiply fractions

⅕ x 3
Multiply unit fractions of quantities
Use formal multiplication to find unit fraction parts of quantities
Proper fractions of quantities
Use multiplication to find proper fraction amounts of whole numbers
Proper fractions of measures
Use formal multiplication to find proper fractions of measures
Mixed fractions of quantities
Use the formal method for multiplying fractions to expand these mixed fractions of quantities
2½ x 10 cm
Mixed fractions of measures
Use the formal method to expand these mixed fractions of measures

Fractions ➔ Fractions and decimals

Equivalent sizes
Identify the decimal that is the same size as the fraction
0.7 > ⅗
Decimals greater than fraction
Identify which of the decimals are greater than the given fraction
0.5 < ⅗
Decimals less than fraction
Identify which of the 4 decimal numbers are smaller in value than the given fraction

5th grade (32 topics)

Fractions ➔ Compare fractions

Compare fractions: equivalence
Choose which two fractions are equivalent from groups of three fractions
Which fraction is biggest
Choose the fraction which is the biggest
Which fraction is smallest
Choose the fraction which is the smallest
½ x ⅘
Half of a fraction
Chose the fraction that is half the size of the given fraction
2 x ⅗
Double a fraction
Choose the fraction that is double the size of the given fraction

Fractions ➔ Order fractions

Order fractions: ascending
Find the list of fractions that is in correct ascending order
Order fractions: descending
Find the list of fractions that is in correct descending order from largest to smallest

Fractions ➔ Fractions of a quantity

Unit fractions of a quantity
Use division to find unit fraction multiples of quantities
⅜ x 8 = 3
Three eighths of a quantity
Choose the correct answer for ⅜ of a quantity
⅝ x 8 = 5
Five eighths of a quantity
Choose the correct answer for ⅝ of a quantity
5/9 x 9 = 5
Five ninths of a quantity
Choose the correct answer for 5/9 of a quantity
▢ x 4 = 2
Missing fraction problems
Calculate the missing fraction that completes these multiplication sums

Fractions ➔ Convert fractions

Mixed to top-heavy
Convert mixed fractions to improper (top-heavy) fractions
Top-heavy to mixed fractions
Convert these top-heavy fractions to mixed fractions
Simplify fractions: cancel zeros
Cancel zeros top and bottom to simplify each fraction
Simplify fractions: halve even numbers
Halve even numbers top and bottom to simplify the fractions
Simplify fractions: common factors
Divide top and bottom by a common factor to simplify the fractions

Fractions ➔ Add fractions

⅕ + ⅕
Add fractions: same denominator
Add fractions where no change is required to the denominators
⅖ + ⅒
Add equivalent fractions
Add these fractions by making the denominators the same using common factors
Add fractions using LCD
Use a lowest common denominator (LCD) to add these pairs of fractions
2¼ + 3¾
Add mixed fractions
Convert these mixed fractions to top-heavy fractions and then add them together

Fractions ➔ Subtract fractions

⅗ - ⅕
Subtract same denominator fractions
Calculate the fraction subtractions where no change is required to the denominators
Subtract equivalent fractions
Subtract these equivalent fractions by matching denominators using common factors
Subtract fractions using LCD
Convert one fraction using a lowest common denominator (LCD) in order to subtract the fractions
2¼ - 1¾
Subtract mixed fractions
Use borrowing or other methods to subtract mixed fractions

Fractions ➔ Multiply fractions

½ x ½
Multiply proper fractions
Multiply proper fractions by multiplying across the numerators and denominators and simplifying
Multiply fractions: cross cancel first
Multiply fractions by cancelling numbers first using the BOW TIE method - simplify your answers

Fractions ➔ Divide proper fractions

Divide proper fractions by whole numbers
Use the flip method for dividing by a fraction to expand the question and identify the answer

Fractions ➔ Reverse fraction of quantity

From fractional amount to original amount
Work backwards from a fractional amount to find the whole amount

Fractions ➔ Fractions and decimals

Equivalent sizes
Identify the decimal that is the same size as the fraction
Decimals greater than fraction
Identify the decimals that are greater than the given fraction

Fractions ➔ Word problems

Capacity & volume problems
Solve problems involving capacity and volume identifying the correct answer using fractions

In addition to the Fractions topics shown above, the elementary section of Free Math Games has 17 other top level categories of topics to choose from. Each top level category offers a full breadth of topics to cover the elementary curriculum. Use these topics to reinforce key math concepts in a fun and engaging way that will keep your pupils enthused and energised with the math they are learning. The top level categories available are:

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