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Fractions denote numbers that are less than a unit. One way of writing these 'partial' numbers is by using a decimal point. These are called decimal numbers. An example would be 2.5. 2.5 as a fraction would be written as 2^{1}⁄_{2}. 2^{1}⁄_{2} is a mixed number. Another way to write it would be ^{5}⁄_{2} which is an improper fraction. Proper fractions have numerators which are lower than their denominators.

See how much you have remembered from your classes by playing this quiz about proper and improper fractions, numerators and denominators.

1.

Which of these is a proper fraction?

A proper fraction has a top number less than the bottom number

2.

Which fraction is less than ^{1}⁄_{2}?

2 x 7 = 14 so ^{7}⁄_{15} is slightly less than half

3.

Which is the largest of these fractions?

4.

Which of these fractions is not equivalent to ^{1}⁄_{3}?

5.

What would ^{6}⁄_{4} be when converted to a mixed number?

4^{1}⁄_{2}

1^{1}⁄_{2}

1^{1}⁄_{4}

2^{1}⁄_{4}

A mixed number is where there is a mix of a whole number and a fraction

6.

What type of fraction is ^{6}⁄_{5}?

Mixed fraction

Equivalent fraction

Improper fraction

Unsuitable fraction

An improper fraction has a top number more than the bottom number

7.

Which fraction is one ninth?

8.

Which fraction is ^{25}⁄_{100} equivalent to?

100 ÷ 25 = 4

9.

What would 3^{1}⁄_{4} be when converted to an improper fraction?

There are ^{4}⁄_{4} in 1 unit so 3 units = ^{12}⁄_{4}

10.

Which fraction is more than ^{1}⁄_{4}?