explain 19 13/20 + 13 5/7 + 15 1/5 — step-by-step solution

⚠ 19 13/20 is read as the mixed number 19 + 13/20

⚠ 13 5/7 is read as the mixed number 13 + 5/7

Let's calculate:

19

+ \frac{13}{20}

+ 13

+ \frac{5}{7}

+ 15

+ \frac{1}{5}

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

\frac{13}{20} + \frac{1}{5}

\frac{13 + 4}{20}

ℹ

19 + 13

32

32

+ \frac{13 + 4}{20}

+ \frac{5}{7}

+ 15

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

13 + 4

17

ℹ

32 + 15

47

47 + \frac{17}{20} + \frac{5}{7}

ℹ

\frac{17}{20} + \frac{5}{7}

\frac{17 \times 7 + 5 \times 20}{20 \times 7}

47 + \frac{17 \times 7 + 5 \times 20}{20 \times 7}

ⓘMultiplications are done before additions and subtractions:

17 \times 7

(10 + 7) \times 7

10 \times 7 + 7 \times 7

70 + 49

119

ℹ

5 \times 20

100

‖

20 \times 7

140

47 + \frac{119 + 100}{140}

ℹ

119 + 100

219

47 + \frac{219}{140}

ⓘThe fraction

\frac{219}{140}

is greater than 1: add its integer part

1

to the whole part:

\frac{219}{140} + 47

48 + \frac{79}{140}

▶Result:

48

\frac{79}{140}

The approximate value of:

48 + \frac{79}{140}

equals:

48 + \approx 0.5643

▷

\approx 48.5643