21 11/16 + 10 17/20

⚠ 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}

ⓘ Start from

21

and move forward

10

on the number line:

21 + 10

31

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

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

80

, the least common multiple of

16

and

20

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

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

\frac{11 \times 5}{16 \times 5} + \frac{17 \times 4}{20 \times 4}

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

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

ⓘ Perform multiplications 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

ⅰ

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

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

ⓘ Calculate the numerator and denominator before dividing:

55 + 68

123

31 + \frac{123}{80}

▶Result:

32

\frac{43}{80}

ⓘ The fraction

\frac{123}{80}

is greater than 1: extract

1

from it and add it to the whole part:

31 + \frac{123}{80}

31 + \frac{80 + 43}{80}

31 + \frac{80}{80} + \frac{43}{80}

31 + 1 + \frac{43}{80}

32 + \frac{43}{80}

The numeric value of:

32 + \frac{43}{80}

is:

32 + 0.5375

▷

32.5375

100% free