explain 13/15+11/17 — step-by-step solution

Let's evaluate:

\frac{13}{15} + \frac{11}{17}

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

\frac{13 \times 17 + 11 \times 15}{15 \times 17}

ⓘMultiplications are done before additions and subtractions:

13 \times 17

17 \times (10 + 3)

17 \times 10 + 17 \times 3

170 + 51

221

‖

11 \times 15

15 \times (10 + 1)

15 \times 10 + 15

150 + 15

165

‖

15 \times 17

17 \times (10 + 5)

17 \times 10 + 17 \times 5

170 + 85

255

\frac{221 + 165}{255}

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

221 + 165

386

▶Result:

\frac{386}{255}

The approximate value of:

\frac{386}{255}

equals:

▷

\approx 1.5137