explain 12 9/20 + 17 11/15 + 7 8/15 — step-by-step solution

⚠ 12 9/20 is read as the mixed number 12 + 9/20

⚠ 17 11/15 is read as the mixed number 17 + 11/15

Let's evaluate:

12

+ \frac{9}{20}

+ 17

+ \frac{11}{15}

+ 7

+ \frac{8}{15}

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

\frac{11}{15} + \frac{8}{15}

\frac{11 + 8}{15}

ℹ

12 + 17

29

29

+ \frac{9}{20}

+ \frac{11 + 8}{15}

+ 7

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

11 + 8

19

ℹ

29 + 7

36

36 + \frac{9}{20} + \frac{19}{15}

ℹ

\frac{9}{20} + \frac{19}{15}

\frac{9 \times 3 + 19 \times 4}{20 \times 3}

36 + \frac{9 \times 3 + 19 \times 4}{20 \times 3}

ⓘMultiplications are done before additions and subtractions:

9 \times 3

27

‖

19 \times 4

(10 + 9) \times 4

10 \times 4 + 9 \times 4

40 + 36

76

ℹ

20 \times 3

60

36 + \frac{27 + 76}{60}

ℹ

27 + 76

103

36 + \frac{103}{60}

ⓘThe fraction

\frac{103}{60}

is greater than 1: add its integer part

1

to the whole part:

\frac{103}{60} + 36

37 + \frac{43}{60}

▶Result:

37

\frac{43}{60}

The numeric value of:

37 + \frac{43}{60}

equals:

37 + \approx 0.7167

▷

\approx 37.7167