20 11/15 + 17 15/16 + 17 7/15

⚠ 20 11/15 is read as the mixed number 20 + 11/15■17 15/16 is read as the mixed number 17 + 15/16■17 7/15 is read as the mixed number 17 + 7/15

Let's calculate:

20

+ \frac{11}{15}

+ 17

+ \frac{15}{16}

+ 17

+ \frac{7}{15}

ⓘ Start from

20

and move forward

17

on the number line:

20 + 17

37

■Add fractions by using a common denominator and then adding their numerators:

\frac{11}{15} + \frac{7}{15}

\frac{11 + 7}{15}

37

+ \frac{11 + 7}{15}

+ \frac{15}{16}

+ 17

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

11 + 7

18

37

+ \frac{18}{15}

+ \frac{15}{16}

+ 17

ⓘ Start from

37

and move forward

17

on the number line:

37 + 17

54

■We simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{18}{15}

\frac{6 \times 3}{5 \times 3}

\frac{6}{5}

54 + \frac{6}{5} + \frac{15}{16}

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

80

, the least common multiple of

5

and

16

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

\frac{6}{5} + \frac{15}{16}

\frac{6 \times 16}{5 \times 16} + \frac{15 \times 5}{16 \times 5}

\frac{6 \times 16 + 15 \times 5}{5 \times 16}

54 + \frac{6 \times 16 + 15 \times 5}{5 \times 16}

ⓘ Multiplications are done before additions and subtractions:

6 \times 16

6 \times (10 + 6)

6 \times 10 + 6 \times 6

60 + 36

96

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

ⅰ

5 \times 16

5 \times (10 + 6)

5 \times 10 + 5 \times 6

50 + 30

80

54 + \frac{96 + 75}{80}

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

96 + 75

171

54 + \frac{171}{80}

▶Result:

56

\frac{11}{80}

ⓘ The fraction

\frac{171}{80}

is greater than 1: extract

2

from it and add it to the whole part:

54 + \frac{171}{80}

54 + \frac{160 + 11}{80}

54 + \frac{160}{80} + \frac{11}{80}

54 + 2 + \frac{11}{80}

56 + \frac{11}{80}

The numeric value of:

56 + \frac{11}{80}

is:

56 + 0.1375

▷

56.1375

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