explain 10 13/15 + 13 8/15 — step-by-step solution

⚠ 10 13/15 is read as the mixed number 10 + 13/15

⚠ 13 8/15 is read as the mixed number 13 + 8/15

Let's evaluate:

10

+ \frac{13}{15}

+ 13

+ \frac{8}{15}

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

\frac{13}{15} + \frac{8}{15}

\frac{13 + 8}{15}

ℹ

10 + 13

23

23 + \frac{13 + 8}{15}

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

13 + 8

21

23 + \frac{21}{15}

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

3

\frac{21}{15}

\frac{7 \times 3}{5 \times 3}

\frac{7}{5}

23 + \frac{7}{5}

ⓘThe fraction

\frac{7}{5}

is greater than 1: add its integer part

1

to the whole part:

\frac{7}{5} + 23

24 + \frac{2}{5}

▶Result:

24

\frac{2}{5}

The numeric value of:

24 + \frac{2}{5}

equals:

24 + 0.4

▷

24.4