All fractions have a numerator and a denominator. Before you do this quiz, do all the other 11plus 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!














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}

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}


^{4}⁄_{6} + ^{8}⁄_{3} + ^{5}⁄_{15} = ^{2}⁄_{3} + ^{8}⁄_{3} + ^{1}⁄_{3} = ^{11}⁄_{3} = 3^{2}⁄_{3}. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators  it really is as easy as that! Finally, write the improper fraction as a mixed fraction

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}


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}

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


^{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}

^{13}⁄_{30} of the class voted in favour of extra homework BUT fractions alone DO NOT tell you the actual number of people or things involved. If you had been told that there were 30 pupils in the class, then choice 2 would have been the best answer. Always be on the lookout for the BEST answer


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}

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
