explain 19 13/15 + 6 3/8 — step-by-step solution

⚠ 19 13/15 is read as the mixed number 19 + 13/15

⚠ 6 3/8 is read as the mixed number 6 + 3/8

Let's calculate:

19

+ \frac{13}{15}

+ 6

+ \frac{3}{8}

ℹ

19 + 6

25

25 + \frac{13}{15} + \frac{3}{8}

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

\frac{13}{15} + \frac{3}{8}

\frac{13 \times 8 + 3 \times 15}{15 \times 8}

25 + \frac{13 \times 8 + 3 \times 15}{15 \times 8}

ⓘMultiplications are done before additions and subtractions:

13 \times 8

(10 + 3) \times 8

10 \times 8 + 3 \times 8

80 + 24

104

‖

3 \times 15

(10 + 5) \times 3

10 \times 3 + 5 \times 3

30 + 15

45

‖

15 \times 8

(10 + 5) \times 8

10 \times 8 + 5 \times 8

80 + 40

120

25 + \frac{104 + 45}{120}

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

104 + 45

149

25 + \frac{149}{120}

ⓘThe fraction

\frac{149}{120}

is greater than 1: add its integer part

1

to the whole part:

\frac{149}{120} + 25

26 + \frac{29}{120}

▶Result:

26

\frac{29}{120}

The numeric value of:

26 + \frac{29}{120}

is:

26 + \approx 0.2417

▷

\approx 26.2417