explain 20 9/10 + 11 5/8 + 22 4/7 — step-by-step solution

⚠ 20 9/10 is read as the mixed number 20 + 9/10

⚠ 11 5/8 is read as the mixed number 11 + 5/8

Let's calculate:

20

+ \frac{9}{10}

+ 11

+ \frac{5}{8}

+ 22

+ \frac{4}{7}

ℹ

20 + 11

31

31

+ \frac{9}{10}

+ \frac{5}{8}

+ 22

+ \frac{4}{7}

ℹ

31 + 22

53

53

+ \frac{9}{10}

+ \frac{5}{8}

+ \frac{4}{7}

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

\frac{9}{10} + \frac{5}{8}

\frac{9 \times 4 + 5 \times 5}{10 \times 4}

53 + \frac{9 \times 4 + 5 \times 5}{10 \times 4} + \frac{4}{7}

ⓘMultiplications are done before additions and subtractions:

9 \times 4

36

ℹ

5 \times 5

25

‖

10 \times 4

40

53 + \frac{36 + 25}{40} + \frac{4}{7}

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

36 + 25

61

53 + \frac{61}{40} + \frac{4}{7}

ℹ

\frac{61}{40} + \frac{4}{7}

\frac{61 \times 7 + 4 \times 40}{40 \times 7}

53 + \frac{61 \times 7 + 4 \times 40}{40 \times 7}

ⓘ

61 \times 7

(60 + 1) \times 7

60 \times 7 + 7

420 + 7

427

ℹ

4 \times 40

160

‖

40 \times 7

280

53 + \frac{427 + 160}{280}

ℹ

427 + 160

587

53 + \frac{587}{280}

ⓘThe fraction

\frac{587}{280}

is greater than 1: add its integer part

2

to the whole part:

\frac{587}{280} + 53

55 + \frac{27}{280}

▶Result:

55

\frac{27}{280}

The numeric value of:

55 + \frac{27}{280}

is:

55 + \approx 9.6429 \times 10^{- 2}

▷

\approx 55.0964