explain 7 5/9 + 9 14/15 + 16 8/15 — step-by-step solution

⚠ 7 5/9 is read as the mixed number 7 + 5/9

⚠ 9 14/15 is read as the mixed number 9 + 14/15

Let's evaluate:

7

+ \frac{5}{9}

+ 9

+ \frac{14}{15}

+ 16

+ \frac{8}{15}

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

\frac{14}{15} + \frac{8}{15}

\frac{14 + 8}{15}

ℹ

7 + 9

16

16

+ \frac{5}{9}

+ \frac{14 + 8}{15}

+ 16

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

14 + 8

22

ℹ

16 + 16

32

32 + \frac{5}{9} + \frac{22}{15}

ℹ

\frac{5}{9} + \frac{22}{15}

\frac{5 \times 5 + 22 \times 3}{9 \times 5}

32 + \frac{5 \times 5 + 22 \times 3}{9 \times 5}

ⓘMultiplications are done before additions and subtractions:

5 \times 5

25

‖

22 \times 3

(20 + 2) \times 3

20 \times 3 + 2 \times 3

60 + 6

66

ℹ

9 \times 5

45

32 + \frac{25 + 66}{45}

ℹ

25 + 66

91

32 + \frac{91}{45}

ⓘThe fraction

\frac{91}{45}

is greater than 1: add its integer part

2

to the whole part:

\frac{91}{45} + 32

34 + \frac{1}{45}

▶Result:

34

\frac{1}{45}

The numeric value of:

34 + \frac{1}{45}

is:

34 + \approx 2.2222 \times 10^{- 2}

▷

\approx 34.0222