22 7/15 + 14 11/20

⚠ 22 7/15 is read as the mixed number 22 + 7/15■14 11/20 is read as the mixed number 14 + 11/20

Let's calculate:

22

+ \frac{7}{15}

+ 14

+ \frac{11}{20}

ⓘ Start from

22

and move forward

14

on the number line:

22 + 14

36

36 + \frac{7}{15} + \frac{11}{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{7}{15} + \frac{11}{20}

\frac{7 \times 4}{15 \times 4} + \frac{11 \times 3}{20 \times 3}

\frac{7 \times 4 + 11 \times 3}{15 \times 4}

36 + \frac{7 \times 4 + 11 \times 3}{15 \times 4}

ⓘ Perform multiplications before additions and subtractions:

7 \times 4

28

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

ⅰ

15 \times 4

(10 + 5) \times 4

10 \times 4 + 5 \times 4

40 + 20

60

36 + \frac{28 + 33}{60}

ⓘ Calculate the numerator and denominator before dividing:

28 + 33

61

36 + \frac{61}{60}

▶Result:

37

\frac{1}{60}

ⓘ Since the fraction

\frac{61}{60}

exceeds 1, take

1

out of it and add it to the whole part:

36 + \frac{61}{60}

36 + \frac{60 + 1}{60}

36 + \frac{60}{60} + \frac{1}{60}

36 + 1 + \frac{1}{60}

37 + \frac{1}{60}

The numeric value of:

37 + \frac{1}{60}

equals:

37 + \approx 1.6667 \times 10^{- 2}

▷

\approx 37.0167

100% free