explain 13 7/12 + 24 3/8 — step-by-step solution

⚠ 13 7/12 is read as the mixed number 13 + 7/12

⚠ 24 3/8 is read as the mixed number 24 + 3/8

Let's calculate:

13

+ \frac{7}{12}

+ 24

+ \frac{3}{8}

ℹ

13 + 24

37

37 + \frac{7}{12} + \frac{3}{8}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

\frac{7}{12} + \frac{3}{8}

\frac{7 \times 2 + 3 \times 3}{12 \times 2}

37 + \frac{7 \times 2 + 3 \times 3}{12 \times 2}

ⓘMultiplications are done before additions and subtractions:

7 \times 2

14

‖

12 \times 2

(10 + 2) \times 2

10 \times 2 + 2 \times 2

20 + 4

24

ℹ

3 \times 3

9

37 + \frac{14 + 9}{24}

ⓘThe numerator and the denominator are computed before the division:

14 + 9

23

37 + \frac{23}{24}

▶Result:

37

\frac{23}{24}

The numeric value of:

37 + \frac{23}{24}

equals:

37 + \approx 0.9583

▷

\approx 37.9583