explain 8 7/15 + 12 9/10 — step-by-step solution

⚠ 8 7/15 is read as the mixed number 8 + 7/15

⚠ 12 9/10 is read as the mixed number 12 + 9/10

Let's evaluate:

8

+ \frac{7}{15}

+ 12

+ \frac{9}{10}

ℹ

8 + 12

20

20 + \frac{7}{15} + \frac{9}{10}

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

\frac{7}{15} + \frac{9}{10}

\frac{7 \times 2 + 9 \times 3}{15 \times 2}

20 + \frac{7 \times 2 + 9 \times 3}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

7 \times 2

14

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

9 \times 3

27

20 + \frac{14 + 27}{30}

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

14 + 27

41

20 + \frac{41}{30}

ⓘThe fraction

\frac{41}{30}

is greater than 1: add its integer part

1

to the whole part:

\frac{41}{30} + 20

21 + \frac{11}{30}

▶Result:

21

\frac{11}{30}

The approximate value of:

21 + \frac{11}{30}

is:

21 + \approx 0.3667

▷

\approx 21.3667