9 1/9 + 8 11/15

⚠ 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 evaluate:

9

+ \frac{1}{9}

+ 8

+ \frac{11}{15}

ⓘ Start from

9

and move forward

8

on the number line:

9 + 8

17

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

45

, the least common multiple of

9

and

15

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{1 \times 5}{9 \times 5} + \frac{11 \times 3}{15 \times 3}

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

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

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

ⓘ Perform multiplications before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

ⅰ

9 \times 5

45

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

ⓘ Calculate the numerator and denominator before dividing:

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

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