The numerator is the top number in a fraction and shows how many parts we have.

The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.

Equivalent fractions are fractions which have the same value, even though they may look different.

Explain the relationship between numerators and denominators in equivalent fractions

Maths

In this unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals. In the future unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems. 

In the prior unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes. In this unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

Comparing fractions using equivalence and decimals

Which of these images represent equivalent fractions?

Match the statements which describe the digits in these fractions.

The denominator is 3 more than the numerator.

The denominator is 4 times the value of the numerator.

The numerator is 4 times the value of the denominator.

What is the relationship between the numerator and the denominator in these fractions?

the denominator is half the value of the numerator.

the denominator is 2 more than the numerator.

the numerator is 2 more than the denominator.

the denominator is double the value of the numerator.

the numerator is half the value of the denominator.

Complete this sentence: In all fractions equivalent to one half, ...

The denominator is 5 times the value of the numerator.

The denominator is 3 times the value of the numerator.

The denominator is 6 times the value of the numerator.

Match the definitions of these equivalent fractions.

Which fractions are equivalent to $${1}\over{8}$$?

Which pairs of equivalent fractions can you see in the image?

Which fractions could you use to describe the shaded fraction of this shape?

Which fractions represent the shaded part of the number line?

Match the parts of the sentences so that they describe equal parts of a whole.

Which of these equations will give an answer of zero?

Which of these equations will give the same answer?

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