Fractions make sharing fair—unless someone takes a bigger slice! This 11 Plus Maths quiz introduces easy ways to divide things into equal parts.
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If the denominators (bottom numbers) are the same, you can subtract by simply subtracting their numerators (top numbers). 11?12 ? 8?12 = 3?12 BUT this can be reduced to 1?4 if you divide the denominator and the numerator by the SAME number, in this case 3
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The three wrong answers can be reduced to 1?6 which is greater than 1?9 because you are dividing the same numerator, 1 in this case, by a smaller number: 4 in this case
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If you divide the denominator and the numerator by the SAME number, you can reduce the fraction to its simplest form. In this case, you divide the denominator AND the numerator by 2
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Numbers followed by th, st or rd (as in, fourth, first or third) are known as ordinal numbers. The denominators (bottom numbers) in fractions are almost always ordinal numbers
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8?15 is the only answer greater than one-half
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If the denominators (bottom numbers) are the same, you can add by simply adding their numerators (top numbers). 9?20 + 7?20 = 16?20 BUT this can be reduced to 4?5 if you divide the denominator and the numerator by the SAME number, in this case 4
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All the wrong answers can be reduced by dividing their numerators and denominators by the same number - 2 in 12?14, 3 in 18?21 and 4 in 24?28
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To work out how many of a fraction are in a whole number, multiply that number by the denominator (bottom number). So, to divide 3 by 1?4, simply multiply 3 x 4 = 12
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There are 23 twenty-thirds in 1. If Jenny has spent 17?23, there can only be 6?23 left because 17 + 6 = 23: if the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators
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Michael lost 1?4 of 160. So, 160 ÷ 4 = 40. That means michael has 160 - 40 cards left: 120
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