explain 9 1/9 + 8 11/15 — step-by-step solution

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

⚠ 8 11/15 is read as the mixed number 8 + 11/15

Let's calculate:

9

+ \frac{1}{9}

+ 8

+ \frac{11}{15}

ℹ

9 + 8

17

17 + \frac{1}{9} + \frac{11}{15}

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

\frac{1}{9} + \frac{11}{15}

\frac{1 \times 5 + 11 \times 3}{9 \times 5}

17 + \frac{1 \times 5 + 11 \times 3}{9 \times 5}

ⓘMultiplications are done before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

ℹ

1 \times 5

5

‖

9 \times 5

45

17 + \frac{5 + 33}{45}

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

5 + 33

38

17 + \frac{38}{45}

▶Result:

17

\frac{38}{45}

The numeric value of:

17 + \frac{38}{45}

equals:

17 + \approx 0.8444

▷

\approx 17.8444