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Grace had (7)/(8) litres of milk. She used (2)/(3) litres. What fraction of milk is left?

April 13, 2026Mathematics

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Answer

\frac{5}{24}

4 steps

Identify the initial amount of milk and the amount of milk used.
Grace initially had $\frac{7}{8}$ litres of milk.
She used $\frac{2}{3}$ litres of milk.
Subtract the amount of milk used from the initial amount to find the remaining milk.
To subtract fractions, find a common denominator. The least common multiple (LCM) of 8 and 3 is 24.
Convert the fractions to equivalent fractions with the common denominator.
For $\frac{7}{8}$ :
$\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}$
For $\frac{2}{3}$ :
$\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$
Perform the subtraction.
$\text{Remaining milk} = \frac{21}{24} - \frac{16}{24}$ $\text{Remaining milk} = \frac{21 - 16}{24}$ $\text{Remaining milk} = \frac{5}{24}$
The fraction of milk that remained is $\frac{5}{24}$ .

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