explain 14 9/20 + 15 1/2 + 10 1/4 — step-by-step solution

⚠ 14 9/20 is read as the mixed number 14 + 9/20

⚠ 15 1/2 is read as the mixed number 15 + 1/2

Let's calculate:

14

+ \frac{9}{20}

+ 15

+ \frac{1}{2}

+ 10

+ \frac{1}{4}

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

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

\frac{9 + 10}{20}

ℹ

14 + 15

29

29

+ \frac{9 + 10}{20}

+ 10

+ \frac{1}{4}

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

9 + 10

19

ℹ

29 + 10

39

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

ℹ

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

\frac{19 + 1 \times 5}{20}

39 + \frac{19 + 1 \times 5}{20}

ℹ

1 \times 5

5

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

ℹ

19 + 5

24

39 + \frac{24}{20}

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

4

\frac{24}{20}

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

\frac{6}{5}

39 + \frac{6}{5}

ⓘThe fraction

\frac{6}{5}

is greater than 1: add its integer part

1

to the whole part:

\frac{6}{5} + 39

40 + \frac{1}{5}

▶Result:

40

\frac{1}{5}

The numeric value of:

40 + \frac{1}{5}

equals:

40 + 0.2

▷

40.2