Express an amount of fifths as a mixed number and an improper fraction. | Maths

Starter quiz

$Look at the bar. What fraction of the bar is shaded grey?$

Look at the bar. What fraction of the bar is shaded grey?

${3} \over {2}$

${2} \over {3}$

${3} \over {5}$ ✓

${5} \over {3}$
Look at this number $3 {{2} \over {5}}$ We say it as three and two ______.

'fifths' ✓
Match the equation to its product.

2 × 5 =

⇔

10 ✓

5 × 5 =

⇔

25 ✓

7 × 5 =

⇔

35 ✓

11 × 5 =

⇔

55 ✓

12 × 5 =

⇔

60 ✓
Look at the part-part-whole model. What is the missing part?

3

5

${3} \over {5}$ ✓

${5} \over {3}$

6
Match the equations so they are equivalent and complete.

${2} \over {5}$ =

⇔

${1} \over {5}$ + ${1} \over {5}$ ✓

${3} \over {5}$ =

⇔

${1} \over {5}$ + ${2} \over {5}$ ✓

${1} \over {5}$ =

⇔

${3} \over {5}$ − ${2} \over {5}$ ✓

1 =

⇔

${2} \over {5}$ + ${3} \over {5}$ ✓
Jacob has four buckets. Each contains five tennis balls. How many tennis balls does he have? ______ tennis balls

'20' ✓

Exit quiz

Which of the following are improper fractions?

${6} \over {5}$ ✓

${3} \over {5}$

${2} \over {5}$

${10} \over {5}$ ✓

${1} \over {5}$
Look at this counting sequence. What comes next? 15 fifths 20 fifths 25 fifths ______ fifths

'30' ✓
$Look at this number line. Which improper fraction is equivalent to <Math>1{{3} \over {5}}</Math>$

Look at this number line. Which improper fraction is equivalent to $1{{3} \over {5}}$

${8} \over {5}$ ✓

${5} \over {5}$

${6} \over {5}$

${7} \over {5}$
How do we write the whole number four as an improper fraction with a denominator of five?

${10} \over {5}$

${15} \over {5}$

${20} \over {5}$ ✓

${25} \over {5}$
Which of these represents this mixed number $1{{1} \over {5}}$ as an improper fraction?

${2} \over {5}$

${11} \over {5}$

${6} \over {5}$ ✓

${7} \over {5}$
If nine chocolate bars were each cut into fifths, how many fifths would there be? ______ fifths

'45' ✓

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Lesson Details

Key learning points

A fraction with a numerator that is equal to or greater than the denominator is called an improper fraction.
Improper fractions have values that are equal to or greater than one.
A mixed number can be written as an improper fraction of equal value.

Common misconception

Children may just add the whole number part of the mixed number to the numerator or may forget to add the fractional part of the mixed number.

Encourage use of stem sentences developed within the lesson. For example, there are five groups of five fifths, which is 25 fifths, and two more fifths, so that is 27 fifths.

Keywords

Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.