12 9/20 + 17 11/15 + 7 8/15

⚠ 12 9/20 is read as the mixed number 12 + 9/20■17 11/15 is read as the mixed number 17 + 11/15■7 8/15 is read as the mixed number 7 + 8/15

Let's calculate:

12

+ \frac{9}{20}

+ 17

+ \frac{11}{15}

+ 7

+ \frac{8}{15}

ⓘ Start from

12

and move forward

17

on the number line:

12 + 17

29

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

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

\frac{11 + 8}{15}

29

+ \frac{9}{20}

+ \frac{11 + 8}{15}

+ 7

ⓘ Calculate the numerator and denominator before dividing:

11 + 8

19

29

+ \frac{9}{20}

+ \frac{19}{15}

+ 7

ⓘ Start from

29

and move forward

7

on the number line:

29 + 7

36

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

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

60

, the least common multiple of

20

and

15

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

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

\frac{9 \times 3}{20 \times 3} + \frac{19 \times 4}{15 \times 4}

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

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

ⓘ Perform multiplications 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}

ⓘ Calculate the numerator and denominator before dividing:

27 + 76

103

36 + \frac{103}{60}

▶Result:

37

\frac{43}{60}

ⓘ Since the fraction

\frac{103}{60}

exceeds 1, take

1

out of it and add it to the whole part:

36 + \frac{103}{60}

36 + \frac{60 + 43}{60}

36 + \frac{60}{60} + \frac{43}{60}

36 + 1 + \frac{43}{60}

37 + \frac{43}{60}

The numeric value of:

37 + \frac{43}{60}

equals:

37 + \approx 0.7167

▷

\approx 37.7167

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