explain 17 4/15 + 19 1/10 — step-by-step solution

⚠ 17 4/15 is read as the mixed number 17 + 4/15

⚠ 19 1/10 is read as the mixed number 19 + 1/10

Let's calculate:

17

+ \frac{4}{15}

+ 19

+ \frac{1}{10}

ℹ

17 + 19

36

36 + \frac{4}{15} + \frac{1}{10}

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

\frac{4}{15} + \frac{1}{10}

\frac{4 \times 2 + 1 \times 3}{15 \times 2}

36 + \frac{4 \times 2 + 1 \times 3}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

4 \times 2

8

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

1 \times 3

3

36 + \frac{8 + 3}{30}

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

8 + 3

11

36 + \frac{11}{30}

▶Result:

36

\frac{11}{30}

The numeric value of:

36 + \frac{11}{30}

is:

36 + \approx 0.3667

▷

\approx 36.3667