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Rational Numbers Introduction

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Rational Numbers Introduction

Help a food truck prepare and share ingredients. A rational number is any number that can be written as a fraction of integers, with a non-zero denominator. Show your thinking where you can.

Ratios on the menu

The food truck mixes fruit using the quantities shown. A ratio compares amounts in the order they are named.

Mix A 2 strawberries 3 bananas

Mix B 4 strawberries 6 bananas

Mix C 3 strawberries 2 bananas

1.Write the strawberries-to-bananas ratio for Mix A using a colon, then write it as a fraction. Explain what the 2 and 3 count.

2.Which mix has the same ratio of strawberries to bananas as Mix A? Choose one and explain how you know.

Mix B
Mix C
Neither mix

3.The truck needs 6 strawberries for every 9 bananas. Complete the ratio: strawberries : bananas = : . Is it equivalent to Mix A?

Fractions in the kitchen

A fraction can describe part of a whole. It can also show a ratio when the quantities are compared in a particular order.

4.A jug is filled to 3/4 of its capacity. Name the numerator and denominator, and say what each number tells you.

5.The kitchen uses 1/2 cup of yoghurt in one small batch. Which is the same amount?

2/4 cup
1/3 cup
3/4 cup
2/3 cup

6.True or false: Every whole number can be written as a fraction. Give one example to support your answer.

TrueFalse

7.Put these numbers in order from smallest to largest: 1/4, 1, 3/4, 1/2. Use the number line to help.

Scale up the order

Use equivalent ratios to prepare bigger batches without changing the flavour.

8.A wrap filling uses 2 scoops of beans for every 5 scoops of corn. Write the ratio beans : corn. If the truck doubles the recipe, how many scoops of each ingredient are needed?

9.A customer says the ratio 3:4 is the same as 6:8. Is the customer correct? Explain using multiplication.

10.The truck has 12 apples and 8 pears. Write the ratio apples : pears in simplest form. Then write the apples-to-pears ratio as a fraction.

11.Create a new fruit mix with a strawberries-to-bananas ratio equivalent to 2:3, using more than 10 pieces of fruit altogether. Write the ratio and show how you know it is equivalent.

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Year 7

Rational Numbers Introduction

Rational Numbers Introduction

Ratios on the menu

Fractions in the kitchen

Scale up the order

2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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