explain 17 13/20 + 19 5/7 — step-by-step solution

⚠ 17 13/20 is read as the mixed number 17 + 13/20

⚠ 19 5/7 is read as the mixed number 19 + 5/7

Let's evaluate:

17

+ \frac{13}{20}

+ 19

+ \frac{5}{7}

ℹ

17 + 19

36

36 + \frac{13}{20} + \frac{5}{7}

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

\frac{13}{20} + \frac{5}{7}

\frac{13 \times 7 + 5 \times 20}{20 \times 7}

36 + \frac{13 \times 7 + 5 \times 20}{20 \times 7}

ⓘMultiplications are done before additions and subtractions:

13 \times 7

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

ℹ

5 \times 20

100

‖

20 \times 7

140

36 + \frac{91 + 100}{140}

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

91 + 100

191

36 + \frac{191}{140}

ⓘThe fraction

\frac{191}{140}

is greater than 1: add its integer part

1

to the whole part:

\frac{191}{140} + 36

37 + \frac{51}{140}

▶Result:

37

\frac{51}{140}

The numeric value of:

37 + \frac{51}{140}

equals:

37 + \approx 0.3643

▷

\approx 37.3643