Compare mixed numbers when the denominators of fractional parts are different | Maths

Starter quiz

Starting with the smallest, put these numbers in order.
- 1
  
  ⇔
  
  101
- 2
  
  ⇔
  
  110
- 3
  
  ⇔
  
  111
- 4
  
  ⇔
  
  1,000
- 5
  
  ⇔
  
  1,001
- 6
  
  ⇔
  
  1,110
$Which fraction shows how much of the bar has been shaded grey?$

Which fraction shows how much of the bar has been shaded grey?
- ${4} \over {5}$
- ${5} \over {4}$
- ${4} \over {9}$
- ${5} \over {9}$ ✓
$Look at the part-part-whole model. What is the value of the fractional part of this mixed number?$

Look at the part-part-whole model. What is the value of the fractional part of this mixed number?
- ${4} \over {6}$ - ✓
- ${6} \over {4}$
- ${3} \over {6}$
- 3
- 4
Look at these numbers. Which is the greatest?
- $4{{1} \over {5}}$
- $5{{1} \over {5}}$
- $6{{3} \over {6}}$ ✓
- 3
- 6
Starting with the smallest, put these numbers in order.
- 1
  
  ⇔
  
  0
- 2
  
  ⇔
  
  ${1} \over {20}$
- 3
  
  ⇔
  
  ${1} \over {15}$
- 4
  
  ⇔
  
  ${1} \over {10}$
- 5
  
  ⇔
  
  ${1} \over {5}$
- 6
  
  ⇔
  
  1
Starting with the smallest, put these numbers in order.
- 1
  
  ⇔
  
  3
- 2
  
  ⇔
  
  $3{{1} \over {9}}$
- 3
  
  ⇔
  
  $3{{6} \over {9}}$
- 4
  
  ⇔
  
  $3{{7} \over {9}}$
- 5
  
  ⇔
  
  $3{{8} \over {9}}$
- 6
  
  ⇔
  
  4

Exit quiz

$Look at these representations of fractions and complete the sentence using ‘greater’ or ‘smaller’: <Math> {2} \over {6}</Math> is <span class="blank">______</span> than <Math> {2} \over {5}</Math>$

Look at these representations of fractions and complete the sentence using ‘greater’ or ‘smaller’: ${2} \over {6}$ is ______ than ${2} \over {5}$
- 'smaller' ✓
Which symbol makes this statement true? ${2} \over {9}$ ___ ${2} \over {7}$
- < ✓
- >
- =
Starting with the smallest, put these numbers in order.
- 1
  
  ⇔
  
  0
- 2
  
  ⇔
  
  ${10} \over {100}$
- 3
  
  ⇔
  
  ${10} \over {50}$
- 4
  
  ⇔
  
  ${10} \over {25}$
- 5
  
  ⇔
  
  ${10} \over {20}$
- 6
  
  ⇔
  
  1
Which symbol makes this statement true? $9{{6} \over {8}}$ ___ $9{{6} \over {10}}$
- <
- > ✓
- =
Starting with the smallest, put these numbers in order.
- 1
  
  ⇔
  
  7
- 2
  
  ⇔
  
  $7{{6} \over {10}}$
- 3
  
  ⇔
  
  $7{{6} \over {9}}$
- 4
  
  ⇔
  
  $7{{6} \over {8}}$
- 5
  
  ⇔
  
  $7{{6} \over {7}}$
- 6
  
  ⇔
  
  8
Andeep has spilt his drink on his homework. What could the missing digit be?
- 5
- 6
- 7
- 8 ✓
- 9 ✓

Worksheet

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Lesson Details

Key learning points

If mixed numbers have the same whole number parts, then the size of the fractional parts determines the greater number.
When we compare fractions that have the same numerator, the greater the denominator, the smaller the fraction.
Knowledge of comparing proper fractions can help when comparing mixed numbers.

Common misconception

Children may compare the fractional part of the mixed number first rather than the more significant whole number part.

What do you notice? If the whole number is the same, we need to look at the fractional part. If the numerators are the same, we need to compare the denominators - the smaller the denominator the greater the fraction.

Keywords

Mixed number - A mixed number is a whole number and a fraction combined.