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Describe how you would help your learner to add the following mixed fractions: 13 1/4 + 12 3/4

March 18, 2026Mathematics

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Answer

2\frac{3}{20}

4 steps

Convert the mixed number $1\frac{2}{5}$ to an improper fraction.
$1\frac{2}{5} = \frac{1 \times 5 + 2}{5}$
Substitute:
$\frac{5 + 2}{5} = \frac{7}{5}$
Add the fractions $\frac{3}{4} + \frac{7}{5}$ .
Find the least common denominator: $4 \times 5 = 20$ .
$\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}$ $\frac{7}{5} = \frac{7 \times 4}{5 \times 4} = \frac{28}{20}$
Add the fractions with common denominator.
$\frac{15}{20} + \frac{28}{20} = \frac{15 + 28}{20} = \frac{43}{20}$
Convert $\frac{43}{20}$ back to a mixed number.
$\frac{43}{20} = 2\frac{3}{20}$
(since $20 \times 2 = 40$ , $43 - 40 = 3$ )

2\frac{3}{20}

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