7 5/9 + 9 14/15 + 16 8/15

⚠ 7 5/9 is read as the mixed number 7 + 5/9■9 14/15 is read as the mixed number 9 + 14/15■16 8/15 is read as the mixed number 16 + 8/15

Let's evaluate:

7

+ \frac{5}{9}

+ 9

+ \frac{14}{15}

+ 16

+ \frac{8}{15}

ⓘ Start from

7

and move forward

9

on the number line:

7 + 9

16

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

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

\frac{14 + 8}{15}

16

+ \frac{5}{9}

+ \frac{14 + 8}{15}

+ 16

ⓘ Calculate the numerator and denominator before dividing:

14 + 8

22

16

+ \frac{5}{9}

+ \frac{22}{15}

+ 16

ⓘ Start from

16

and move forward

16

on the number line:

16 + 16

32

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

ⓘ To add fractions, put them over the same denominator, then add the 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{5}{9} + \frac{22}{15}

\frac{5 \times 5}{9 \times 5} + \frac{22 \times 3}{15 \times 3}

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

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

ⓘ Perform multiplications 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}

ⓘ Calculate the numerator and denominator before dividing:

25 + 66

91

32 + \frac{91}{45}

▶Result:

34

\frac{1}{45}

ⓘ Since the fraction

\frac{91}{45}

exceeds 1, take

2

out of it and add it to the whole part:

32 + \frac{91}{45}

32 + \frac{90 + 1}{45}

32 + \frac{90}{45} + \frac{1}{45}

32 + 2 + \frac{1}{45}

34 + \frac{1}{45}

The numeric value of:

34 + \frac{1}{45}

is:

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

▷

\approx 34.0222

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