**The ratio shows how parts of a whole quantity are shared. In this worksheet, we’ll look at the ratio of two numbers and how to convert the parts of a ratio to fraction, percentage and decimal. This work is ideal for Years 6, 7 or 8 students. The steps are laid out in the example to help students work out the ratio of two numbers.**

Key:The parts of a ratio, together, makes a whole, also known as the total parts. It is important to identify the TOTAL PART towork out the ratio of two numbers.

Click on the download button to get the worksheet.

### Write ratio as percentage worksheet

## Work out the ratio of two numbers

We’ll use the 5 steps given below to work out parts of the money ratio. **Example: Share $20 in the ratio 2 : 3**

**Try these questions: For QUESTIONS 1 – 4, write the ratio of two numbers in the quantities giv**en.

**Q1.** Divide the 405 in the ratio 4 to 11.

**Q2.** Divide 7,560 in the ratio 4 to 5.

**Q3.** Share $40 in the ratio 1 to 4.

**Q4.** Share $747 in the ratio 2 to 7.

## Write the ratio of two numbers as fractions

**Try these questions: For QUESTIONS 5 and 6, write the ratio of the 2 numbers as fractions. Use the example to help you. Example: Write the parts of the ratio 1 : 4 as fractions.**

**Q5.** How many parts are in the ratio 7 : 13?

**Q6.** Convert each part of the ratio to fraction and simply where necessary: (I) 3 : 7 (II) 20 : 5 (III) 40 : 60

Here is a related work on

Converting Fractionsthat provides a good understanding of the work on fractions

## Write the ratio of two numbers as percentages

**Try these questions: For QUESTIONS 7 – 9, write the ratio of the 2 numbers as percentages. Use the example to help you. Example: Write the parts of the ratio 1 : 4 as percentages.**

**Q7.** A percent is a ratio of a number relative to ____%. What is the missing ‘number’?

**Q8.** What is the percentage of each number in the ratio 1 : 2?

**Q9.** Convert each part of the ratio to percentage: (I) 3 : 7 (II) 1 : 18 (III) 20 : 5

Here is related work on **converting percentages** that is useful.

## Part D: Write the ratio of two numbers as decimals

**Try these questions: For QUESTIONS 10 – 12, write the ratio of the 2 numbers as decimals. Use the example to help you. Example: Write the parts of the ratio 1 : 4 as decimals.**

**Q10.** How many parts are in the ratio 2 : 8?

**Q11.** What is the decimal equivalent of each number in the ratio of 1 to 3?

**Q12.** Convert each part of the ratio to decimal: (I) 3 : 7 (II) 1 : 18 (III) 20 : 5 (IV) 40 : 60

## Ratio and quantity practical word problems

**Try these questions: QUESTIONS 13 – 20, real world problems where ratios are used. Use the examples, questions and answers above to help you. (Leave a comment if you need help)**

**Q13.** A 2-stroke engine requires the 50 : 1 ratio, 50 ml of petrol is required for every ml of oil.

How many litres of petrol would be required to mix 20 mL of oil?

**Q14.** What is:

(I) 50 to 1 ratio in litres? (*Note: 50 : 1 ratio means 50 ml to every ml of oil*)

(I) 40 to 1 ratio in litres?

(III) 32 to 1 ratio in litres?

(IV) 25 to 1 ratio in litres?

**Q15.** The rice to water ratio for a rice cooker is 1 cup to 2 cups.

How many cups of water are required to cook 3.5 cups of rice?

**Q16.** When cooking couscous add 1½ cups of warm water per 1 cup of couscous.

How many cups of warm water to is required to cook 6 cups of couscous?

**Q17.** One kilogram is equal to 4.125 cups.

If you add twice the amount of water for every cup of rice, how many cups water is required to cook 1 kilogram of rice?

**Q18.** The ratio of petrol for the a 2-stroke engines is 50 millilitres (mL) of petrol to 1 millilitres (mL) of oil.

How much oil is required to mix 2 L of petrol?

**Q19.** The coffee to water ratio by weight is 1 gram to 17 grams of water.

A pot of coffee contains 3 grams of coffee, how much water is required to make a perfect coffee?

**Q20. **The ratio of sugar to water for hummingbird feeder is 1 part sugar to 4 parts water. If a hummingbird drinks 75 grams from a bird feeder, how much sugar and water is the bird taking in, respectively?

## Download the ratio worksheet: Questions and Answers Worksheets PDF

I converted this work into a ratio worksheet for use in class or at home. The worksheet is a reduced version of the article and provides a good overview of **How to Work Out the Ratio of Two Numbers**. Click on the download button to get the worksheet.

### Write ratio as percentage worksheet

Content of the ratio worksheet:

- 20 Questions and Answers
- Worked Examples
- Side notes

**Revision note **A ratio can be converted to fractions (a part of several parts) percentages (a part of 100%) and or decimals (a part of 1). Remember to identify the order in which the numbers appear in a ratio. The ratio is a representation of the parts of a whole. Therefore, always find the total parts when working with ratios.

If you have any question, leave a comment below and I’ll respond to it in due course. You can also reach me on **YouTube @PNGInsight**

I like the way in which mathematical problems are unpacked, this will also help to understand mathematics better.

Looking for Fraction and percentage worksheets and this is a good one to use with my students, thank you!