13 14/15 + 9 19/20

⚠ 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}

ⓘ Start from

13

and move forward

9

on the number line:

13 + 9

22

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

60

, the least common multiple of

15

and

20

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{14 \times 4}{15 \times 4} + \frac{19 \times 3}{20 \times 3}

\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

ⅰ

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}

▶Result:

23

\frac{53}{60}

ⓘ Since the fraction

\frac{113}{60}

exceeds 1, take

1

out of it and add it to the whole part:

22 + \frac{113}{60}

22 + \frac{60 + 53}{60}

22 + \frac{60}{60} + \frac{53}{60}

22 + 1 + \frac{53}{60}

23 + \frac{53}{60}

The numeric value of:

23 + \frac{53}{60}

equals:

23 + \approx 0.8833

▷

\approx 23.8833

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