explain 5/19+2/15 — step-by-step solution

Let's calculate:

\frac{5}{19} + \frac{2}{15}

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

\frac{5 \times 15 + 2 \times 19}{19 \times 15}

ⓘMultiplications are done before additions and subtractions:

5 \times 15

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

‖

2 \times 19

(10 + 9) \times 2

10 \times 2 + 9 \times 2

20 + 18

38

‖

19 \times 15

19 \times (10 + 5)

19 \times 10 + 19 \times 5

190 + 95

285

\frac{75 + 38}{285}

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

75 + 38

113

▶Result:

\frac{113}{285}

The approximate value of:

\frac{113}{285}

equals:

▷

\approx 0.3965