Welcome to the third quiz in our Easy series of Eleven Plus maths quizzes on fractions. If you have played the first two, then you’ll know all about denominators and numerators, but how are you when it comes to multiplying or dividing fractions? Now’s your chance to find out!
Here’s a quick recap which will help prepare you for some of the questions:
To convert an improper fraction to a mixed fraction, follow these steps:Can you remember how to do the opposite and convert a mixed fraction into an improper one? If not, don’t worry. The helpful comments after the questions will make things clear. Good luck!














36 ÷ 16 = 2.25

First, convert all fractions to the same denominator: ^{1}⁄_{4} + ^{6}⁄_{10} = ^{5}⁄_{20} + ^{12}⁄_{20} = ^{17}⁄_{20}.
^{20}⁄_{20}  ^{17}⁄_{20} = ^{3}⁄_{20} 

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: 26 ÷ 8 = 3. STEP 2: Remainder 2. STEP 3: 3^{2}⁄_{8} which can be simplified to 3^{1}⁄_{4} 
^{1}⁄_{4} × £312 = (312 ÷ 4) = £78. That’s a quarter of James’ wages.
78 ÷ 3 = £26. That’s a third of a quarter of James’ wages. 26 x 2 = £52. That’s twothirds of a quarter of James’ wages 

^{1}⁄_{12} × 132 = 132 ÷ 12 = 11

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 × 7 = 35. STEP 2: 35 + 3 = 38. STEP 3: ^{38}⁄_{5} 

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: 4 × 27 = 108. STEP 2: 108 + 9 = 117. STEP 3: ^{117}⁄_{27}. This can be simplified to ^{13}⁄_{3} by dividing the numerator and denominator by 9 
To find onefifth of something, you divide it by five. To find fourfifths, multiply onefifth by four


The word 'of' means multiply; therefore oneseventh OF something means multiply by ^{1}⁄_{7} BUT multiplying by a seventh is the same as dividing by seven: 98 ÷ 7 = 14.
If Susan got 14 questions wrong then she got 98  14 = 84 questions right 
Of, in this case, means multiply. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction: 1 x 3 = 3 and 5 x 4 = 20 so ^{1}⁄_{5} x ^{3}⁄_{4} = ^{3}⁄_{20}
