0:00
Fractions in Context Part 1
Select the skills to practice, and then click Go!
Foundational skills
Identify the whole amount
\[ \text{48 stickers} \rightarrow \text{whole} \]
Identify which number is the whole in a fraction problem.
Recognise the correct calculation
\[ \frac{2}{5} \text{ of } 60 = \text{?} \]
Identify the correct calculation for finding a fraction of an amount.
Finding unit fractions
Find half of an amount
\[ \frac{1}{2} \text{ of } 24 = 12 \]
Find half of a given amount in context.
Find a quarter of an amount
\[ \frac{1}{4} \text{ of } £36 = £9 \]
Find a quarter of a given amount in context.
Find a unit fraction (3-10)
\[ \frac{1}{5} \text{ of } 45 = 9 \]
Find a unit fraction with denominator 3-10.
Find a unit fraction (up to 12)
\[ \frac{1}{12} \text{ of } 132 = 11 \]
Find a unit fraction with denominator 11 or 12.
Find a unit fraction of money
\[ \frac{1}{7} \text{ of } £56 = £8 \]
Find a unit fraction of money amounts.
Find a unit fraction of measurement
\[ \frac{1}{8} \text{ of } 72\text{L} = 9\text{L} \]
Find a unit fraction of measurements.
Find a unit fraction of time
\[ \frac{1}{3} \text{ of } 90\text{min} = 30\text{min} \]
Find a unit fraction of time durations.
Finding non-unit fractions
Non-unit fraction (denom ≤ 5)
\[ \frac{2}{5} \text{ of } 35 = 14 \]
Find non-unit fractions with denominator up to 5.
Non-unit fraction (denom 6-12)
\[ \frac{5}{8} \text{ of } 96 = 60 \]
Find non-unit fractions with denominator 6-12.
Non-unit fraction of money
\[ \frac{3}{7} \text{ of } £84 = £36 \]
Find non-unit fractions of money amounts.
Non-unit fraction of measurement
\[ \frac{5}{9} \text{ of } 180\text{cm} = 100\text{cm} \]
Find non-unit fractions of measurements.
Non-unit fraction of time
\[ \frac{3}{4} \text{ of } 2\text{h} = 1\text{h } 30\text{m} \]
Find non-unit fractions of time durations.
Comparing fractional amounts
Compare fractions of same amount
\[ \frac{1}{3} \text{ vs } \frac{1}{4} \text{ of 12} \]
Compare two fractions of the same whole.
Compare fractions of different amounts
\[ \frac{1}{4} \text{ of } 40 \text{ vs } \frac{1}{3} \text{ of } 30 \]
Compare fractions when wholes are different.
Who has more/less remaining
\[ \text{Compare remainders} \]
Compare amounts remaining after spending fractions.
Order fractional amounts
\[ \text{Order 3 amounts} \]
Order three fractional amounts from different wholes.
Fraction remaining
Find the fraction remaining
\[ \frac{2}{5} \text{ boys} \rightarrow \frac{3}{5} \text{ girls} \]
Find the fraction remaining (complement to 1).
Find the amount remaining
\[ 72 – \frac{5}{8} \text{ of } 72 = 27 \]
Calculate the amount left after a fraction is taken.
Fraction remaining after multiple
\[ 1 – \frac{1}{4} – \frac{2}{4} = \frac{1}{4} \]
Find the fraction left when two fractions are taken.
Two-step problems
Find remaining then add more
\[ (45 – \frac{1}{5}) + 8 = 44 \]
Find remainder after fraction, then add.
Find remaining then subtract more
\[ (80 – \frac{1}{4}) – 5 = 55 \]
Find remainder after fraction, then subtract.
Fractions of two quantities and add
\[ \frac{2}{3} \times 600 + \frac{1}{4} \times 400 \]
Find fractions of two amounts and add results.
Fractions of two quantities – difference
\[ \frac{3}{5} \times 40 – \frac{2}{3} \times 36 \]
Find fractions of two amounts and find difference.
Find a fraction then share equally
\[ (\frac{1}{3} \text{ of } 60) \div 4 = 5 \]
Find fraction of amount, then divide equally.
Fraction of the remainder
\[ \frac{1}{2} \text{ of remaining after } \frac{1}{4} \]
Find fraction of what remains after first fraction.
Expressing as a fraction
Express as fraction – no simplifying
\[ 3 \text{ red of } 12 = \frac{3}{12} \]
Write one amount as a fraction of another.
Express as fraction – simplifying
\[ \frac{12}{20} = \frac{3}{5} \]
Write as a fraction and simplify the answer.
Express a remainder as a fraction
\[ 23 \div 4 = 5 \frac{3}{4} \]
Express the remainder from division as a fraction.
Express a comparison as a fraction
\[ 24 \text{ of } 32 = \frac{3}{4} \]
Express the complement as a fraction.
Special cases
Mixed number answers
\[ \frac{3}{4} \text{ of } 50 = 37\frac{1}{2} \]
Problems where answer is a mixed number.
Unit conversion required
\[ \frac{3}{4} \text{ of } 2\text{m} = 150\text{cm} \]
Problems requiring unit conversion.
‘Out of’ phrasing
\[ 15 \text{ out of } 20 \text{ correct} \]
Interpret ‘out of’ with fraction operations.
Fraction of a fraction
\[ \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} \]
Find a fraction of a fraction in context.
Timer (Optional)
0:00
Question