explain 15/19+14/15 — step-by-step solution

Let's calculate:

\frac{15}{19} + \frac{14}{15}

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

\frac{15 \times 15 + 14 \times 19}{19 \times 15}

ⓘMultiplications are done before additions and subtractions:

15 \times 15

15 \times (10 + 5)

15 \times 10 + 15 \times 5

150 + 75

225

‖

14 \times 19

19 \times (10 + 4)

19 \times 10 + 19 \times 4

190 + 76

266

‖

19 \times 15

19 \times (10 + 5)

19 \times 10 + 19 \times 5

190 + 95

285

\frac{225 + 266}{285}

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

225 + 266

491

▶Result:

\frac{491}{285}

The approximate value of:

\frac{491}{285}

equals:

▷

\approx 1.7228