explain 13 11/20 + 21 3/20 + 8 7/10 — step-by-step solution

⚠ 13 11/20 is read as the mixed number 13 + 11/20

⚠ 21 3/20 is read as the mixed number 21 + 3/20

Let's evaluate:

13

+ \frac{11}{20}

+ 21

+ \frac{3}{20}

+ 8

+ \frac{7}{10}

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

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

\frac{11 + 3}{20}

ℹ

13 + 21

34

34

+ \frac{11 + 3}{20}

+ 8

+ \frac{7}{10}

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

11 + 3

14

ℹ

34 + 8

42

42 + \frac{14}{20} + \frac{7}{10}

ℹ

\frac{14}{20} + \frac{7}{10}

\frac{14 + 7 \times 2}{20}

42 + \frac{14 + 7 \times 2}{20}

ⓘMultiplications are done before additions and subtractions:

7 \times 2

14

42 + \frac{14 + 14}{20}

ℹ

14 + 14

28

42 + \frac{28}{20}

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

4

\frac{28}{20}

\frac{7 \times 4}{5 \times 4}

\frac{7}{5}

42 + \frac{7}{5}

ⓘThe fraction

\frac{7}{5}

is greater than 1: add its integer part

1

to the whole part:

\frac{7}{5} + 42

43 + \frac{2}{5}

▶Result:

43

\frac{2}{5}

The approximate value of:

43 + \frac{2}{5}

equals:

43 + 0.4

▷

43.4