explain 13 3/7 + 19 3/10 + 21 1/5 — step-by-step solution

⚠ 13 3/7 is read as the mixed number 13 + 3/7

⚠ 19 3/10 is read as the mixed number 19 + 3/10

Let's evaluate:

13

+ \frac{3}{7}

+ 19

+ \frac{3}{10}

+ 21

+ \frac{1}{5}

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

\frac{3}{10} + \frac{1}{5}

\frac{3 + 2}{10}

ℹ

13 + 19

32

32

+ \frac{3}{7}

+ \frac{3 + 2}{10}

+ 21

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

3 + 2

5

ℹ

32 + 21

53

53 + \frac{3}{7} + \frac{5}{10}

ℹ

\frac{3}{7} + \frac{5}{10}

\frac{3 \times 10 + 5 \times 7}{7 \times 10}

53 + \frac{3 \times 10 + 5 \times 7}{7 \times 10}

ⓘMultiplications are done before additions and subtractions:

3 \times 10

30

ℹ

5 \times 7

35

‖

7 \times 10

70

53 + \frac{30 + 35}{70}

ℹ

30 + 35

65

53 + \frac{65}{70}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

5

\frac{65}{70}

\frac{13 \times 5}{14 \times 5}

\frac{13}{14}

53 + \frac{13}{14}

▶Result:

53

\frac{13}{14}

The numeric value of:

53 + \frac{13}{14}

equals:

53 + \approx 0.9286

▷

\approx 53.9286