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Recognizing a fraction when you see one is easy. Fractions represent part of a whole number. But not all fractions are the same type. Proper fractions have top numbers, or numerators, lower than their bottom numbers, or denominators. Improper fractions are those where the numerators are bigger than the denominators. Another way to write improper fractions is as mixed numbers where units are shown next to a proper fraction. For example, ^{4}⁄_{3} is the equivalent of 1^{1}⁄_{3}.

Take this quiz and test your knowledge of fractions.

1.

What would ^{12}⁄_{9} be when converted to a mixed number?

3^{3}⁄_{9}

1^{1}⁄_{3}

1^{4}⁄_{9}

2^{1}⁄_{9}

2.

What is the numerator?

The top number of a fraction

The bottom number of a fraction

The divider between the two numbers of a fraction

The whole number in a mixed fraction

The numerator tells us how many of the equal parts there are

3.

Which of these are NOT equivalent to each other?

4.

What would 2^{2}⁄_{6} be when converted to an improper fraction?

5.

How do we reduce ^{5}⁄_{20} to an equivalent fraction?

Divide the numerator and denominator by 2

Divide the numerator and denominator by the same number

Multiply the numerator and denominator by 2

Multiply the numerator and denominator by the same number

We have to find the lowest common multiple of 5 and 20 which is 5 so the equivalent will be ^{1}⁄_{4}

6.

Which of these statements is FALSE?

One half is 3 times more than one sixth

One third is twice as much as one sixth

One twentieth is half of one tenth

One hundredth is ten times more than one tenth

One tenth is ten times more than one hundredth

7.

How many ^{1}⁄_{1,000} in a whole one?

10

100

1,000

10,000

8.

What do we call the bottom number of a fraction?

Numerator

Factor

Multiple

Denominator

The denominator tells us the number of parts the whole is divided into

9.

How do we change ^{3}⁄_{10} to an equivalent fraction?

Divide the numerator by the denominator

Divide the numerator and denominator by the same number

Multiply the numerator by the denominator

Multiply the numerator and denominator by the same number

If we multiply by 10 the equivalent fraction will be ^{30}⁄_{100}

10.

Which is an equivalent of ^{6}⁄_{15}?

6 ÷ 3 = 2 and 15 ÷ 3 = 5 so ^{2}⁄_{5} is the same as ^{6}⁄_{15}

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^{12}⁄_{9}could be written as 1^{3}⁄_{9}, 1^{1}⁄_{3}or^{4}⁄_{3}