Maths Quiz - Fractions 2 (Easy) (Answers)
In the last Eleven Plus maths quiz we learnt about improper fractions (in which the numerator (top number) is greater than or equal to the denominator (bottom number)) and mixed fractions (in which there is a whole number and a fractional part). In this second easy quiz on fractions, we give you more opportunity to familiarise yourself with these terms.
There will be times in maths when you are asked to convert an improper fraction to a mixed one, and vice versa. Thankfully, there are some simple rules which make this easier: to convert a mixed fraction to an improper fraction, first multiply the whole number part by the denominator, then add your answer to the numerator. E.g. 3 1⁄3 = ((3 x 3) + 1) ÷ 3 = 10⁄3.
To do the reverse, simply divide the numerator by the denominator. Write the answer before the fraction and put any remainders in the numerator place. E.g. 10⁄3 = 10 ÷ 3 = 3 remainder 1 = 3 1⁄3.
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1?9 × 81 = 81 ÷ 9 = 9
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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: 3 × 3 = 9. STEP 2: 9 + 2 = 11. STEP 3: 11?3
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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: 14 ÷ 6 = 2. STEP 2: Remainder 2. STEP 3: 2 2?6. Of course, this can be simplified further as 2 1?3
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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 1 = 1 and 3 x 3 = 9 so 1?3 x 1?3 = 1?9
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REDUCE the fraction to its simplest form: divide the denominator by 24 to get 2 remainder 18. So, the fraction is 2 18?24. This can be simplified further by dividing the numerator and denominator by 6: 2 18?24 = 2 3?4
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To find one-third of something, you divide it by three. To find two-thirds, multiply one-third by two
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2?3 × £24 = (2 × £24) ÷ 3 = £48 ÷ 3 = £16
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First, convert all fractions to the same denominator: 7?15 + 1?3 = 7?15 + 5?15 = 12?15. There is 3?15, or 1?3 of the cake left for Clive
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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: 6 × 12 = 72. STEP 2: 72 + 9 = 81. STEP 3: 81?12 BUT you must now REDUCE the fraction to its simplest form: divide the numerator and the denominator by 3 to get 27?4 |
The word 'of' means multiply; therefore one-sixth OF something means multiply by 1?6 BUT multiplying by a sixth is the same as dividing by six: 120 ÷ 6 = 20
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