Find fractions of groups or money by first dividing or cross-cancelling and then multiplying
Home / 5th grade / Multiply + Divide / Money and people / Fractions of groups or money
This topic is intended to help you learn or revise how to calculate a fraction of an integer. This type of calculation has many real-world applications like working out your portion of a restaurant bill or other shared cost.
So, if you needed to calculate ⅝ of $32, you could start by working out what ⅛ of 32 is, and multiply that number by 5. So,
⅛ of 32 is equivalent to 32 / 8 = 4 and ...
5 x 4 = 20 so ...
⅝ of $32 = ( 32 ÷ 8 ) x 5 = $20
As another example, in the first question from the lesson you are asked to calculate ⅖ of 40 students. There are many ways to work this out, but one way is:
(40 x 2) ÷ 5
Since 40 is divisible by 5 we could cross-cancel first which gives us:
(8 x 2) ÷ 1
So we can see that ⅖ of 40 students is 16 students.
Use a slow game like 4 in a row to practice this topic first, then when you get into a timed game like Pong, you will have had enough practice to be able to work out the questions really fast!
Below is a table showing the first 6 question answer pairs for the topic "Fractions of groups or money" 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 groups or money" is in the category Multiply + Divide for 5th grade (ages 10 to 11).
Home / 5th grade / Multiply + Divide / Money and people / Fractions of groups or money
Each of our math topics for elementary 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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