explain 3 7/10 + 14 11/12 + 20 1/2 — step-by-step solution

⚠ 3 7/10 is read as the mixed number 3 + 7/10

⚠ 14 11/12 is read as the mixed number 14 + 11/12

Let's calculate:

3

+ \frac{7}{10}

+ 14

+ \frac{11}{12}

+ 20

+ \frac{1}{2}

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

\frac{7}{10} + \frac{1}{2}

\frac{7 + 5}{10}

ℹ

3 + 14

17

17

+ \frac{7 + 5}{10}

+ \frac{11}{12}

+ 20

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

7 + 5

12

ℹ

17 + 20

37

37 + \frac{12}{10} + \frac{11}{12}

ℹ

\frac{12}{10} + \frac{11}{12}

\frac{12 \times 6 + 11 \times 5}{10 \times 6}

37 + \frac{12 \times 6 + 11 \times 5}{10 \times 6}

ⓘMultiplications are done before additions and subtractions:

12 \times 6

(10 + 2) \times 6

10 \times 6 + 2 \times 6

60 + 12

72

‖

11 \times 5

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

ℹ

10 \times 6

60

37 + \frac{72 + 55}{60}

ℹ

72 + 55

127

37 + \frac{127}{60}

ⓘThe fraction

\frac{127}{60}

is greater than 1: add its integer part

2

to the whole part:

\frac{127}{60} + 37

39 + \frac{7}{60}

▶Result:

39

\frac{7}{60}

The numeric value of:

39 + \frac{7}{60}

is:

39 + \approx 0.1167

▷

\approx 39.1167