Substitute a fraction representing a whole to solve subtraction problems | Maths

Starter quiz

When the numerator and the denominator are the same, the fraction is equal to__________.

one half

two

one whole ✓
Match the number of parts in each whole.

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. ✓
Which of these fractions are equivalent to 1?

$\frac{4}{4}$ ✓

$\frac{1}{3}$

$\frac{6}{6}$ ✓

$\frac{1}{15}$

$\frac{12}{12}$ ✓
Match the expressions to the correct fraction.

$\frac{4}{10}$ =

⇔

$\frac{10}{10}$ − $\frac{6}{10}$ ✓

$\frac{5}{8}$ =

⇔

$\frac{8}{8}$ − $\frac{3}{8}$ ✓

$\frac{4}{6}$ =

⇔

$\frac{6}{6}$ − $\frac{2}{6}$ ✓

$\frac{5}{12}$ =

⇔

$\frac{12}{12}$ − $\frac{7}{12}$ ✓
$What is the missing fraction in this equation?$

What is the missing fraction in this equation?

$\frac{19}{12}$

$\frac{5}{12}$ ✓

$\frac{5}{0}$
$Izzy has a multipack of 10 juice blast drinks. She drinks one on Sunday, Monday, Wednesday and Friday. What fraction of the multipack is left?$

Izzy has a multipack of 10 juice blast drinks. She drinks one on Sunday, Monday, Wednesday and Friday. What fraction of the multipack is left?

$\frac{5}{10}$

$\frac{6}{10}$ ✓

$\frac{7}{10}$

Exit quiz

When the denominator and the numerator are the same, the fraction is __________ one whole.

greater than

less than

equivalent to ✓
Which of these fractions is not equivalent to one whole and so are less than one whole?

$\frac{2}{2}$

$\frac{1}{2}$ ✓

$\frac{3}{3}$

$\frac{3}{4}$ ✓

$\frac{4}{4}$
$Which of the fractions can be represented by this image?$

Which of the fractions can be represented by this image?

$\frac{3}{3}$ ✓

$\frac{5}{5}$ ✓

$\frac{4}{4}$

$\frac{15}{15}$ ✓

$\frac{10}{10}$
$What fraction can I substitute for <Math> \frac{3}{3} </Math> to be able to find the answer?$

What fraction can I substitute for $\frac{3}{3}$ to be able to find the answer?

$\frac{4}{4}$

$\frac{10}{10}$ ✓

$\frac{3}{10}$
What is the answer to this equation?

$\frac{1}{7}$

$\frac{4}{3}$

$\frac{6}{10}$ ✓
Compare the expressions. What is the missing symbol that will go between them? Remember to substitute so that the denominators in each expression are the same.

<

=

> ✓

Worksheet

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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.