explain 21 11/16 + 10 17/20 — step-by-step solution

⚠ 21 11/16 is read as the mixed number 21 + 11/16

⚠ 10 17/20 is read as the mixed number 10 + 17/20

Let's evaluate:

21

+ \frac{11}{16}

+ 10

+ \frac{17}{20}

ℹ

21 + 10

31

31 + \frac{11}{16} + \frac{17}{20}

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

\frac{11}{16} + \frac{17}{20}

\frac{11 \times 5 + 17 \times 4}{16 \times 5}

31 + \frac{11 \times 5 + 17 \times 4}{16 \times 5}

ⓘMultiplications are done before additions and subtractions:

11 \times 5

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

‖

17 \times 4

(10 + 7) \times 4

10 \times 4 + 7 \times 4

40 + 28

68

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

31 + \frac{55 + 68}{80}

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

55 + 68

123

31 + \frac{123}{80}

ⓘThe fraction

\frac{123}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{123}{80} + 31

32 + \frac{43}{80}

▶Result:

32

\frac{43}{80}

The approximate value of:

32 + \frac{43}{80}

equals:

32 + 0.5375

▷

32.5375