**All fractions have a numerator** and a denominator. Before you do this quiz, do all the other 11-plus Maths quizzes on fractions.

By the time you come to play this quiz, you should have a good grasp of fractions. Remember the best way to learn any new subject is to keep practising every day until you are confident you know what you are doing.

As always, take your time in this quiz. Read the questions carefully - even read them aloud to help - and look at all four answers before choosing. If you get it wrong (or even if you get it right), make sure you read the comment that pops up after the question has been answered. These comments will help you understand how the calculation is worked out.

Good luck!

1.

How many ^{6}⁄_{15} are there in ^{4}⁄_{5}?

4

24

2

3

2.

What is ^{4}⁄_{6} + ^{8}⁄_{3} + ^{5}⁄_{15} expressed as a mixed fraction?

3^{3}⁄_{2}

2^{2}⁄_{3}

3^{4}⁄_{6}

3^{2}⁄_{3}

3.

An eighth of an eighth is the same as what fraction of a fourth?

The word OF means multiply: ^{1}⁄_{8} × ^{1}⁄_{8} = ^{1}⁄_{64}. You now have to find a fraction which multiplied with ^{1}⁄_{4} gives ^{1}⁄_{64}. Well, 4 × 16 = 64, so the fraction (in its simplest form) must be ^{1}⁄_{16}

4.

What is ^{24}⁄_{7} as a mixed fraction in its simplest form?

2^{10}⁄_{7}

3^{7}⁄_{24}

3^{3}⁄_{7}

7^{3}⁄_{7}

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 24 ÷ 7 = 3. STEP 2: Remainder 3. STEP 3: 3^{3}⁄_{7}

5.

If ^{17}⁄_{30} of the class voted against extra homework, how many pupils in the class voted in favour of extra homework?

17 pupils

13 pupils

6.

What is 9^{6}⁄_{8} as an improper fraction in its simplest form?

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 9 × 8 = 72. STEP 2: 72 + 6 = 78. STEP 3: ^{78}⁄_{8}. Divide the numerator and denominator by 2 to reduce the fraction to its simplest form: ^{39}⁄_{4}

7.

There are 360° in a circle. If you walk round ^{5}⁄_{8} of the circumference of a circle, how many degrees will you have walked around?

225°

576°

125°

252°

All you have to do is find ^{5}⁄_{8} of 360°: ^{5}⁄_{8} × 360° = (5 × 360°) ÷ 8 = 1,800° ÷ 8 = 225°. Do the brackets first

8.

What is 5^{4}⁄_{8} as an improper fraction in its simplest form?

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 5 × 8 = 40. STEP 2: 40 + 4 = 44. STEP 3: ^{44}⁄_{8}. Divide the numerator and denominator by 4 to reduce the fraction to its simplest form: ^{11}⁄_{2}

9.

What is four-fifths of five-sixteenths in its simplest form?

The word OF means multiply: ^{4}⁄_{5} × ^{5}⁄_{16} = ^{1}⁄_{4}. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction. This fraction can then be reduced to its simplest form: sometimes you can reduce the fractions before you multiply them together

10.

What is ^{18}⁄_{4} as a mixed fraction in its simplest form?

4^{1}⁄_{2}

3^{2}⁄_{6}

4^{1}⁄_{3}

4^{2}⁄_{4}

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 18 ÷ 4 = 4. STEP 2: Remainder 2. STEP 3: 4^{2}⁄_{4}. Divide the numerator and denominator by 2 to reduce the fraction to its simplest form: 4^{1}⁄_{2}

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^{6}⁄_{15}can be reduced to^{2}⁄_{5}(divide the numerator and the denominator by 3). Now you can see that^{4}⁄_{5}is twice as much as^{2}⁄_{5}