explain 17 7/20 + 22 9/10 + 20 11/12 — step-by-step solution

⚠ 17 7/20 is read as the mixed number 17 + 7/20

⚠ 22 9/10 is read as the mixed number 22 + 9/10

Let's calculate:

17

+ \frac{7}{20}

+ 22

+ \frac{9}{10}

+ 20

+ \frac{11}{12}

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

\frac{7}{20} + \frac{9}{10}

\frac{7 + 2 \times 9}{20}

ℹ

17 + 22

39

39

+ \frac{7 + 2 \times 9}{20}

+ 20

+ \frac{11}{12}

ⓘMultiplications are done before additions and subtractions:

2 \times 9

18

ℹ

39 + 20

59

59 + \frac{7 + 18}{20} + \frac{11}{12}

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

7 + 18

25

59 + \frac{25}{20} + \frac{11}{12}

ℹ

\frac{25}{20} + \frac{11}{12}

\frac{25 \times 3 + 11 \times 5}{20 \times 3}

59 + \frac{25 \times 3 + 11 \times 5}{20 \times 3}

ⓘ

25 \times 3

(20 + 5) \times 3

20 \times 3 + 5 \times 3

60 + 15

75

‖

11 \times 5

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

ℹ

20 \times 3

60

59 + \frac{75 + 55}{60}

ℹ

75 + 55

130

59 + \frac{130}{60}

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

10

\frac{130}{60}

\frac{13 \times 10}{6 \times 10}

\frac{13}{6}

59 + \frac{13}{6}

ⓘThe fraction

\frac{13}{6}

is greater than 1: add its integer part

2

to the whole part:

\frac{13}{6} + 59

61 + \frac{1}{6}

▶Result:

61

\frac{1}{6}

The numeric value of:

61 + \frac{1}{6}

equals:

61 + \approx 0.1667

▷

\approx 61.1667