explain 15/16+8/19 — step-by-step solution

Let's calculate:

\frac{15}{16} + \frac{8}{19}

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

\frac{15 \times 19 + 8 \times 16}{16 \times 19}

ⓘMultiplications are done before additions and subtractions:

15 \times 19

19 \times (10 + 5)

19 \times 10 + 19 \times 5

190 + 95

285

‖

8 \times 16

(10 + 6) \times 8

10 \times 8 + 6 \times 8

80 + 48

128

‖

16 \times 19

19 \times (10 + 6)

19 \times 10 + 19 \times 6

190 + 114

304

\frac{285 + 128}{304}

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

285 + 128

413

▶Result:

\frac{413}{304}

The numeric value of:

\frac{413}{304}

equals:

▷

\approx 1.3586