13 11/20 + 21 3/20 + 8 7/10

⚠ 13 11/20 is read as the mixed number 13 + 11/20■21 3/20 is read as the mixed number 21 + 3/20■8 7/10 is read as the mixed number 8 + 7/10

Let's evaluate:

13

+ \frac{11}{20}

+ 21

+ \frac{3}{20}

+ 8

+ \frac{7}{10}

ⓘ Start from

13

and move forward

21

on the number line:

13 + 21

34

■Add fractions by using a common denominator and then adding their numerators:

\frac{11}{20} + \frac{3}{20}

\frac{11 + 3}{20}

34

+ \frac{11 + 3}{20}

+ 8

+ \frac{7}{10}

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

11 + 3

14

34

+ \frac{14}{20}

+ 8

+ \frac{7}{10}

ⓘ Start from

34

and move forward

8

on the number line:

34 + 8

42

■Simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{14}{20}

\frac{7 \times 2}{10 \times 2}

\frac{7}{10}

42 + \frac{7}{10} + \frac{7}{10}

ⓘ Add fractions by using a common denominator and then adding their numerators:

\frac{7}{10} + \frac{7}{10}

\frac{7 + 7}{10}

42 + \frac{7 + 7}{10}

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

7 + 7

14

42 + \frac{14}{10}

ⓘ Simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{14}{10}

\frac{7 \times 2}{5 \times 2}

\frac{7}{5}

42 + \frac{7}{5}

▶Result:

43

\frac{2}{5}

ⓘ Since the fraction

\frac{7}{5}

exceeds 1, take

1

out of it and add it to the whole part:

42 + \frac{7}{5}

42 + \frac{5 + 2}{5}

42 + \frac{5}{5} + \frac{2}{5}

42 + 1 + \frac{2}{5}

43 + \frac{2}{5}

The numeric value of:

43 + \frac{2}{5}

equals:

43 + 0.4

▷

43.4

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