explain 16 8/15 + 7 5/8 — step-by-step solution

⚠ 16 8/15 is read as the mixed number 16 + 8/15

⚠ 7 5/8 is read as the mixed number 7 + 5/8

Let's evaluate:

16

+ \frac{8}{15}

+ 7

+ \frac{5}{8}

ℹ

16 + 7

23

23 + \frac{8}{15} + \frac{5}{8}

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

\frac{8}{15} + \frac{5}{8}

\frac{8 \times 8 + 5 \times 15}{15 \times 8}

23 + \frac{8 \times 8 + 5 \times 15}{15 \times 8}

ⓘMultiplications are done before additions and subtractions:

8 \times 8

64

‖

5 \times 15

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

‖

15 \times 8

(10 + 5) \times 8

10 \times 8 + 5 \times 8

80 + 40

120

23 + \frac{64 + 75}{120}

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

64 + 75

139

23 + \frac{139}{120}

ⓘThe fraction

\frac{139}{120}

is greater than 1: add its integer part

1

to the whole part:

\frac{139}{120} + 23

24 + \frac{19}{120}

▶Result:

24

\frac{19}{120}

The approximate value of:

24 + \frac{19}{120}

is:

24 + \approx 0.1583

▷

\approx 24.1583