Find fractions of amounts by first dividing by the fraction denominator then multiplying by the numerator
Home / 6th grade / Number / Fractions / Fractions of amounts
Calculating fractions of amounts involves finding a fraction of a given quantity or number. The process of calculating fractions of amounts can be done in two ways.
Method 1: Divide the number or quantity by the denominator of the fraction, then multiply the result by the fraction numerator to get the answer.
This method can be summarised as:
fraction of amount = (amount ÷ denominator) x numerator
Method 2: Convert the fraction to a decimal then multiply that decimal by the quantity or amount. Follow the steps below to see how this method works:
Step 1: Convert the fraction to a decimal
The first step in calculating fractions of amounts is to convert the fraction to a decimal. To do this, you need to divide the numerator by the denominator. For example, if you want to calculate 1/4 of 80, you would divide 1 by 4, which gives 0.25.
Step 2: Multiply the decimal by the quantity
Once you have converted the fraction to a decimal, the next step is to multiply the decimal by the quantity you are trying to find the fraction of. For example, to find 1/4 of 80, you would multiply 0.25 by 80, which gives you the answer of 20.
So, the general formula to calculate fractions of amounts with this method is:
fraction of amount = (numerator ÷ denominator) x amount
For example, to calculate 3/5 of 100, you would follow these steps:
Step 1: Convert the fraction to a decimal
3 ÷ 5 = 0.6
Step 2: Multiply the decimal by the quantity
0.6 x 100 = 60
Therefore, 3/5 of 100 is 60.
Below is a table showing the first 6 question answer pairs for the topic "Fractions of amounts" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.
The topic "Fractions of amounts" is in the category Number for 6th grade (ages 11 to 12).
Home / 6th grade / Number / Fractions / Fractions of amounts
Each of our math topics for secondary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.
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