Rate Problems with Fractions
Grade 7 Math Worksheets
A rate is a ratio where we compare two different quantities, which are measured in different units.
Here we are going to discuss how we compare two fractions. We solve rate problems by equating two ratios and then solving them for the unknown variable. See the example below.
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Let us assume that Donna can stitch x cushion covers in 4 hours.
Then
X
X= = 4.44444…
Donna stitches 4.44 cushion covers in 4 hours.
Example: If Joshua ate sandwiches in
minutes, then how many sandwiches did he eat per minute?
Let us assume that Joshua ate N sandwiches per minute.
Then : N =
: 1
÷ N =
÷ 1 =>
×
=
= N =
sandwich
Joshua ate th of a sandwich in one minute
Check Point
- A chocolate cake recipe needs
cup cocoa powder for
cup flour. If Nancy uses 3 cups of flour, then how many cups of cocoa powder would she need?
- If
miles of thread is used to stitch
boxes of trousers, then how many miles of thread is needed to stitch 9 boxes of such trousers?
- If
teaspoon of chocolate syrup is needed to make
cup of coffee mocha, then how many teaspoons of chocolate syrup would be needed to make
cups of coffee mocha?
- If
tablespoons of olive oil is needed to make
cups of oats, then how many tablespoons of olive oil would be needed to make 3 cups of oats?
- Angel jogs
of a mile in
hr. How much distance would she cover in 1 hour?
Answer key
cup
-
=
cups
-
teaspoon
-
tablespoons
miles
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