explain 13 2/5 + 23 7/9 — step-by-step solution

⚠ 13 2/5 is read as the mixed number 13 + 2/5

⚠ 23 7/9 is read as the mixed number 23 + 7/9

Let's calculate:

13

+ \frac{2}{5}

+ 23

+ \frac{7}{9}

ℹ

13 + 23

36

36 + \frac{2}{5} + \frac{7}{9}

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

\frac{2}{5} + \frac{7}{9}

\frac{2 \times 9 + 7 \times 5}{5 \times 9}

36 + \frac{2 \times 9 + 7 \times 5}{5 \times 9}

ⓘMultiplications are done before additions and subtractions:

2 \times 9

18

ℹ

7 \times 5

35

‖

5 \times 9

45

36 + \frac{18 + 35}{45}

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

18 + 35

53

36 + \frac{53}{45}

ⓘThe fraction

\frac{53}{45}

is greater than 1: add its integer part

1

to the whole part:

\frac{53}{45} + 36

37 + \frac{8}{45}

▶Result:

37

\frac{8}{45}

The approximate value of:

37 + \frac{8}{45}

equals:

37 + \approx 0.1778

▷

\approx 37.1778