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6th grade / Number / Fractions / Fraction basics / Identify equivalent fractions
There are various ways to identify pairs of fractions that are equivalent:
Simplify both fractions to their lowest terms: To do this, find the greatest common factor (GCF) of the numerator and denominator of each fraction and divide both the numerator and denominator by the GCF. The result will be a simplified fraction that is equivalent to the original fraction.
For example, say you have two fractions, 2/4 and 3/6. The GCF of 2 and 4 is 2. Dividing numerator and denominator by 2 gives us 1/2. The GCF of 3 and 6 is 3. Dividing numerator and denominator by 3 gives us 1/2. Since the simplified fractions are the same, the original fractions (2/4 and 3/6) are equivalent.
Another method to identify equivalent fractions is to cross-multiply. To do this, multiply the numerator of one fraction by the denominator of the other fraction, and vice versa. If the results are the same, then the fractions are equivalent.
For example, if you have two fractions, 2/3 and 4/6, you can cross-multiply to get 2 x 6 = 12 and 4 x 3 = 12. Since the results are the same, the fractions are equivalent.
A third way to identify equivalent fractions is to convert both fractions to decimals and compare the decimals. If the decimals are the same, then the fractions are equivalent.
For example, if you have two fractions, 1/3 and 2/6, you can convert them to decimals by dividing the numerator by the denominator. 1/3 = 0.3333 and 2/6 = 0.3333. Since the decimals are the same, the fractions are equivalent.
By following these steps, you can identify pairs of fractions that are equivalent.
With these interactive math lessons you will be learning "Identify equivalent fractions" from
6th grade / Number / Fractions in 3 easy steps. The math in our lessons consists of 6 questions that ask you to identify the pairs of fractions that are equivalent.
In Year 7 in the UK, students typically continue to build upon their understanding of fractions, which they started developing in earlier grades. Here's an overview of key concepts related to fractions that are commonly taught in Year 7:
Understanding Fractions: Students learn that fractions represent parts of a whole or a group. They understand that a fraction consists of a numerator (the number above the fraction line) and a denominator (the number below the fraction line). The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts that make up a whole.
Equivalent Fractions: Students explore equivalent fractions, which are different fractions that represent the same value. They learn that equivalent fractions can be obtained by multiplying or dividing both the numerator and the denominator by the same number. For example, 1/2 is equivalent to 2/4, 3/6, and so on.
Comparing and Ordering Fractions: Students learn to compare fractions and order them from least to greatest or greatest to least. They understand that when fractions have the same denominator, the one with the larger numerator is greater. When fractions have different denominators, they convert them to equivalent fractions with a common denominator to compare.
Adding and Subtracting Fractions: Students begin to add and subtract fractions with the same denominator (for example, 1/4 + 2/4). They also learn to add or subtract fractions with different denominators by finding a common denominator and then adjusting the numerators accordingly.
Multiplying and Dividing Fractions: Students explore multiplication and division of fractions. They learn to multiply fractions by multiplying the numerators together and the denominators together. For division, they learn to invert the second fraction and multiply. For example, to divide 1/4 by 1/2, you multiply by the reciprocal, which is 2/1.
Fractions in Real-Life Contexts: Students apply their understanding of fractions to real-life situations, such as measurements, recipes, and problem-solving scenarios. They learn to interpret and solve word problems involving fractions.
There are 3 easy math lesson activities in this "Identify equivalent fractions" tutorial. These activities progress step by step to help you the learner gradually master this math topic. The activities are based on "3 stage questioning", a method of learning that quickly and easily builds your confidence as you work through the short series of lessons that strengthen your knowledge of the math that you want to learn.
When you have completed the tutorial for a topic, you should try some of our games before finally doing the test for your chosen topic. See the Help box below for detailed instructions on how to use the lesson activities to help you learn your math more easily.
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You start the tutorial with a lesson that introduces the math you will be learning. You will see a set of questions one at a time, and for each question you will see the written answer and also hear the answer to that question.
Repeat the question/answer by clicking on the brown speaker sign. Repeat the question/answer and expand the question graphic by clicking on the question box. Move between questions using the arrow buttons below the question. If there is additional information available for your chosen topic, the "i" button on the left upright bar will be brown on white. Click on the button to load the additional lesson information into the main interface.
This lesson moves on from the "Introduction" lesson and offers you two possible answers to each question. So, you will see a question then a voice will ask "Is this ... or is it ..." and you will have to choose which of the answers is the one that matches the question.
You choose an answer by clicking or tapping on one of the two answer boxes below the question. You can play the audio for each answer again by clicking on the speaker icon beside the written answer (if robot speech is available and enabled). The program will let you know each time whether you answered correctly. A star will light up red for a wrong answer or white/black for a correct answer.
This lesson asks you the questions in a random order compared to the introduction. At the end of the lesson, you can choose whether to repeat the lesson or move on to the next one.
The final lesson of the tutorial shows you multiple possible answers for each question - you must choose the correct one. You are asked a question and below it are a list of two, three, or four possible written/numeric answers from this topic. Pressing the speaker icon will play the math audio for that answer.
For each picture, click on the answer that matches the question. The program will tell you whether you are right or not. As with the Either / Or activity a system of stars indicate your right and wrong answers. The What is it? lesson will show you all the questions you learned in the Introduction but in a random order.
When you complete the "What is it?" lesson, you can choose whether to go on to play some games with this topic, or whether you want to repeat some or all of the lesson activities in this tutorial. You should expect to get 80% of the answers correct in most of the activities before trying some of the Math games with this topic.
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