Fractions – it’s a word that can strike terror in some people. But, if you’ve already played our previous quizzes on the topic, this one will not be too difficult. It will test your ability to add, subtract and divide fractions, and will also see how good you are at converting one fraction into another.

Basically, fractions are made of two numbers: the denominator (the bottom number) tells you how many ‘pieces’ a whole has been cut into, and the numerator (the top number) tells you how many of those pieces the fraction represents. For example, in ^{1}⁄_{4}, 4 is the denominator (a whole is cut into four pieces) and 1 is the numerator (a quarter represents one of those pieces).

Okay then, now we’ve honed our wits, it’s time for the quiz. Good luck!

1.

Which one of the fractions below is the smallest?

2.

If you eat ^{2}⁄_{9} of a pizza, how much pizza will be left?

There are nine ninths in 1. If you have eaten ^{2}⁄_{9}, there can only be ^{7}⁄_{9} left because 2 + 7 = 9: if the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators

3.

Which one of the following fractions is the same as nine-twelfths (^{9}⁄_{12})?

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 3

4.

Which one of the following fractions is NOT the same as ^{1}⁄_{5}

5.

What does ^{15}⁄_{11} − ^{7}⁄_{11} equal?

If the denominators (bottom numbers) are the same, you can subtract by simply subtracting their numerators (top numbers). ^{15}⁄_{11} − ^{7}⁄_{11} = ^{8}⁄_{11}

6.

In an election, 30,000 people voted. If one-quarter of them voted for the Blue Party, how many did not vote for the Blue Party?

22,500

20,000

7,500

10,000

7.

What does ^{9}⁄_{21} + ^{5}⁄_{21} equal?

If the denominators (bottom numbers) are the same, you can add by simply adding their numerators (top numbers). ^{9}⁄_{21} + ^{5}⁄_{21} = ^{14}⁄_{21} BUT this can be reduced to ^{2}⁄_{3} if you divide the denominator and the numerator by the SAME number, in this case 7

8.

If ^{12}⁄_{16} of the class like football. What fraction of the class do not like football?

If ^{12}⁄_{16} of the class like football, then ^{4}⁄_{16} of the class do not like football because 12 + 4 = 16: this can be simplified to ^{1}⁄_{4} by dividing by 4

9.

Which one of the fractions below is the biggest?

All the other fractions can be reduced to ^{1}⁄_{6} which is smaller than ^{7}⁄_{28} or ^{1}⁄_{4}

10.

What is the value of this fraction: ^{6}⁄_{28}

Six twenty-eighths

Sixth twenty-eighths

Six twenty-eights

Six twenty-eights

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

^{1}⁄_{3}which is greater than^{9}⁄_{36}or^{1}⁄_{4}