14 9/20 + 15 1/2 + 10 1/4

⚠ 14 9/20 is read as the mixed number 14 + 9/20■15 1/2 is read as the mixed number 15 + 1/2■10 1/4 is read as the mixed number 10 + 1/4

Let's evaluate:

14

+ \frac{9}{20}

+ 15

+ \frac{1}{2}

+ 10

+ \frac{1}{4}

ⓘ Start from

14

and move forward

15

on the number line:

14 + 15

29

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

\frac{9}{20} + \frac{1}{2}

\frac{9 + 10}{20}

29

+ \frac{9 + 10}{20}

+ 10

+ \frac{1}{4}

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

9 + 10

19

29

+ \frac{19}{20}

+ 10

+ \frac{1}{4}

ⓘ Start from

29

and move forward

10

on the number line:

29 + 10

39

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

\frac{19}{20} + \frac{1}{4}

\frac{19 + 5}{20}

39 + \frac{19 + 5}{20}

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

19 + 5

24

39 + \frac{24}{20}

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

4

, their greatest common divisor:

\frac{24}{20}

\frac{6 \times 4}{5 \times 4}

\frac{6}{5}

39 + \frac{6}{5}

▶Result:

40

\frac{1}{5}

ⓘ The fraction

\frac{6}{5}

is greater than 1: extract

1

from it and add it to the whole part:

39 + \frac{6}{5}

39 + \frac{5 + 1}{5}

39 + \frac{5}{5} + \frac{1}{5}

39 + 1 + \frac{1}{5}

40 + \frac{1}{5}

The numeric value of:

40 + \frac{1}{5}

is:

40 + 0.2

▷

40.2

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