8 1/9 + 6 2/5 + 7 1/5

⚠ 8 1/9 is read as the mixed number 8 + 1/9■6 2/5 is read as the mixed number 6 + 2/5■7 1/5 is read as the mixed number 7 + 1/5

Let's calculate:

8

+ \frac{1}{9}

+ 6

+ \frac{2}{5}

+ 7

+ \frac{1}{5}

ⓘ Start from

8

and move forward

6

on the number line:

8 + 6

14

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

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

\frac{2 + 1}{5}

14

+ \frac{1}{9}

+ \frac{2 + 1}{5}

+ 7

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

2 + 1

3

14

+ \frac{1}{9}

+ \frac{3}{5}

+ 7

ⓘ Start from

14

and move forward

7

on the number line:

14 + 7

21

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

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

45

, the least common multiple of

9

and

5

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

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

3 \times 9

27

ⅰ

9 \times 5

45

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

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

5 + 27

32

21 + \frac{32}{45}

▶Result:

21

\frac{32}{45}

The numeric value of:

21 + \frac{32}{45}

is:

21 + \approx 0.7111

▷

\approx 21.7111

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