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Express as a Fraction

Express one quantity as a fraction of another, where the fraction could be less than 1 or a mixed number.

Level 1 Level 2 Fraction Arithmetic Description Help Video More Fractions

This is level 1; Express one quantity as a fraction of another, where the fraction is less than 1.

1. Express 9 as a fraction of 18 giving your answer as a fraction in its lowest terms. Correct Wrong


2. Express 16 as a fraction of 32 giving your answer as a fraction in its lowest terms. Correct Wrong


3. Express 15 as a fraction of 30 giving your answer as a fraction in its lowest terms. Correct Wrong


4. What is £30 as a fraction of £45 giving your answer as a fraction in its lowest terms. Correct Wrong


5. What is $28.00 as a fraction of $36.00 giving your answer as a fraction in its lowest terms. Correct Wrong


6. Find 64000 grams as a fraction of 112kg giving your answer as a fraction in its lowest terms. Correct Wrong


7. Find 27km as a fraction of 36000 metres giving your answer as a fraction in its lowest terms. Correct Wrong


8. Express 10 as a fraction of 15 giving your answer as a fraction in its lowest terms. Correct Wrong


9. A student takes a test for which there are 220 marks available. What fraction of the marks did they earn if their score was 110 out of 220. Give your answer as a fraction in its lowest terms. Correct Wrong


10. What fraction of 19.2 million is 9,600,000 giving your answer as a fraction in its lowest terms. Correct Wrong


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Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

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Description of Levels

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Level 1 - Express one quantity as a fraction of another, where the fraction is less than 1.

Level 2 - Express one quantity as a fraction of another, where the fraction is greater than 1 and should be expressed a mixed number.

Fractions Level 1 - Adding two fractions with the same denominators.

Fractions Level 2 - Adding two fractions with a common denominator.

Fractions Level 3 - Adding two fractions with random denominators.

Fractions Level 4 - Subtracting two fractions with the same denominators.

Fractions Level 5 - Subtracting two fractions with a common denominator.

Fractions Level 6 - Subtracting two fractions with random denominators.

Fractions Level 7 - Multiplying two fractions.

Fractions Level 8 - Dividing one fraction by another.

Fractions Level 9 - Mixed fraction calculations.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

This video is from Corbettmaths.

You may also want to use a calculator to check your working. See Calculator Workout skill 4.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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