explain 11/19+10/17 — step-by-step solution

Let's calculate:

\frac{11}{19} + \frac{10}{17}

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

\frac{11 \times 17 + 10 \times 19}{19 \times 17}

ⓘMultiplications are done before additions and subtractions:

11 \times 17

17 \times (10 + 1)

17 \times 10 + 17

170 + 17

187

‖

10 \times 19

(10 + 9) \times 10

10 \times 10 + 9 \times 10

100 + 90

190

‖

19 \times 17

19 \times (10 + 7)

19 \times 10 + 19 \times 7

190 + 133

323

\frac{187 + 190}{323}

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

187 + 190

377

▶Result:

\frac{377}{323}

The numeric value of:

\frac{377}{323}

equals:

▷

\approx 1.1672