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.

Scaling is when a quantity is made ___ times the size.

Explain the relationship between numerators and denominators across 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

... have the same numerator and denominator.

... have the same value and position on a number line.

... represent the same proportion of a whole.

... may look different when they are written down.

... and double or half the size of each other.

Which of the statements describe equivalent fractions? Equivalent fractions ...

The denominator is 1 more than the numerator.

The denominator is 2 times the value of the numerator.

1 out of 2 is the same proportion of the whole as 3 out of 6

The numerator is half the value of the denominator.

What relationship is shown by the arrows in the image?

Which other fractions would be equivalent to the ones in the image?

The numerator and denominator have been scaled by the same factor.

What is the relationship shown by the arrows in this image?

What factor is missing from these arrows? × {{ }}

What is the missing numerator in this pair of equivalent fractions? The missing numerator is {{ }}

What is the missing numerator in this pair of equivalent fractions?

What is the missing denominator in this pair of equivalent fractions?

The same number is the missing denominator in one fraction and the numerator in the other fraction. What is the missing number?

Starter Quiz