explain 13 14/15 + 9 19/20 — step-by-step solution

⚠ 13 14/15 is read as the mixed number 13 + 14/15

⚠ 9 19/20 is read as the mixed number 9 + 19/20

Let's evaluate:

13

+ \frac{14}{15}

+ 9

+ \frac{19}{20}

ℹ

13 + 9

22

22 + \frac{14}{15} + \frac{19}{20}

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

\frac{14}{15} + \frac{19}{20}

\frac{14 \times 4 + 19 \times 3}{15 \times 4}

22 + \frac{14 \times 4 + 19 \times 3}{15 \times 4}

ⓘMultiplications are done before additions and subtractions:

14 \times 4

(10 + 4) \times 4

10 \times 4 + 4 \times 4

40 + 16

56

‖

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

‖

15 \times 4

(10 + 5) \times 4

10 \times 4 + 5 \times 4

40 + 20

60

22 + \frac{56 + 57}{60}

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

56 + 57

113

22 + \frac{113}{60}

ⓘThe fraction

\frac{113}{60}

is greater than 1: add its integer part

1

to the whole part:

\frac{113}{60} + 22

23 + \frac{53}{60}

▶Result:

23

\frac{53}{60}

The numeric value of:

23 + \frac{53}{60}

equals:

23 + \approx 0.8833

▷

\approx 23.8833