explain 8 1/9 + 6 2/5 + 7 1/5 — step-by-step solution

⚠ 8 1/9 is read as the mixed number 8 + 1/9

⚠ 6 2/5 is read as the mixed number 6 + 2/5

Let's evaluate:

8

+ \frac{1}{9}

+ 6

+ \frac{2}{5}

+ 7

+ \frac{1}{5}

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

\frac{2}{5} + \frac{1}{5}

\frac{2 + 1}{5}

ℹ

8 + 6

14

14

+ \frac{1}{9}

+ \frac{2 + 1}{5}

+ 7

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

2 + 1

3

ℹ

14 + 7

21

21 + \frac{1}{9} + \frac{3}{5}

ℹ

\frac{1}{9} + \frac{3}{5}

\frac{1 \times 5 + 3 \times 9}{9 \times 5}

21 + \frac{1 \times 5 + 3 \times 9}{9 \times 5}

ⓘMultiplications are done before additions and subtractions:

3 \times 9

27

ℹ

1 \times 5

5

‖

9 \times 5

45

21 + \frac{5 + 27}{45}

ℹ

5 + 27

32

21 + \frac{32}{45}

▶Result:

21

\frac{32}{45}

The approximate value of:

21 + \frac{32}{45}

is:

21 + \approx 0.7111

▷

\approx 21.7111