# Substitute a fraction representing a whole to solve subtraction problems

I can substitute a fraction representing a whole to solve subtraction problems.

# Substitute a fraction representing a whole to solve subtraction problems

I can substitute a fraction representing a whole to solve subtraction problems.

## Lesson details

### Key learning points

- A fraction with the same numerator and denominator is equal to one whole.
- To subtract a fraction from a whole, convert the whole to a fraction with the same denominator as the subtrahend.
- All fractions where the numerator and denominator are the same are equal and equal to 1

### Common misconception

Children might struggle with the idea that two fractions, each with the same numerator and denominator but different numbers, can be equivalent. For example, four-fourths is equal to ten-tenths.

Use a fraction wall to help with this. Compare the rows and establish that the whole is the same so they are equivalent. Ask the children to list as many as they can which will help build confidence.

### Keywords

Substitute - Substitute means to put in place of another and it can be used to replace a fraction with another fraction of equal value.

Expression - An expression contains one or more values, where each value is separated by an operator.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

2 -

is the number of halves equal to one whole.

6 -

is the number of sixths equal to one whole.

10 -

is the number of tenths equal to one whole.

4 -

is the number of quarters equal to one whole.

$$ \frac{4}{10} $$ = -

$$ \frac{10}{10} $$ − $$ \frac{6}{10} $$

$$ \frac{5}{8} $$ = -

$$ \frac{8}{8} $$ − $$ \frac{3}{8} $$

$$ \frac{4}{6} $$ = -

$$ \frac{6}{6} $$ − $$ \frac{2}{6} $$

$$ \frac{5}{12} $$ = -

$$ \frac{12}{12} $$ − $$ \frac{7}{12} $$