explain 22 7/15 + 14 11/20 — step-by-step solution

⚠ 22 7/15 is read as the mixed number 22 + 7/15

⚠ 14 11/20 is read as the mixed number 14 + 11/20

Let's calculate:

22

+ \frac{7}{15}

+ 14

+ \frac{11}{20}

ℹ

22 + 14

36

36 + \frac{7}{15} + \frac{11}{20}

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

\frac{7}{15} + \frac{11}{20}

\frac{7 \times 4 + 11 \times 3}{15 \times 4}

36 + \frac{7 \times 4 + 11 \times 3}{15 \times 4}

ⓘMultiplications are done before additions and subtractions:

7 \times 4

28

‖

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

‖

15 \times 4

(10 + 5) \times 4

10 \times 4 + 5 \times 4

40 + 20

60

36 + \frac{28 + 33}{60}

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

28 + 33

61

36 + \frac{61}{60}

ⓘThe fraction

\frac{61}{60}

is greater than 1: add its integer part

1

to the whole part:

\frac{61}{60} + 36

37 + \frac{1}{60}

▶Result:

37

\frac{1}{60}

The approximate value of:

37 + \frac{1}{60}

equals:

37 + \approx 1.6667 \times 10^{- 2}

▷

\approx 37.0167