explain 22 7/8 + 18 4/15 — step-by-step solution

⚠ 22 7/8 is read as the mixed number 22 + 7/8

⚠ 18 4/15 is read as the mixed number 18 + 4/15

Let's calculate:

22

+ \frac{7}{8}

+ 18

+ \frac{4}{15}

ℹ

22 + 18

40

40 + \frac{7}{8} + \frac{4}{15}

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

\frac{7}{8} + \frac{4}{15}

\frac{7 \times 15 + 4 \times 8}{8 \times 15}

40 + \frac{7 \times 15 + 4 \times 8}{8 \times 15}

ⓘMultiplications are done before additions and subtractions:

7 \times 15

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

‖

8 \times 15

(10 + 5) \times 8

10 \times 8 + 5 \times 8

80 + 40

120

ℹ

4 \times 8

32

40 + \frac{105 + 32}{120}

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

105 + 32

137

40 + \frac{137}{120}

ⓘThe fraction

\frac{137}{120}

is greater than 1: add its integer part

1

to the whole part:

\frac{137}{120} + 40

41 + \frac{17}{120}

▶Result:

41

\frac{17}{120}

The numeric value of:

41 + \frac{17}{120}

is:

41 + \approx 0.1417

▷

\approx 41.1417