explain 3/11+17/20 — step-by-step solution

Let's calculate:

\frac{3}{11} + \frac{17}{20}

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

\frac{3 \times 20 + 17 \times 11}{11 \times 20}

ⓘMultiplications are done before additions and subtractions:

3 \times 20

60

‖

17 \times 11

17 \times (10 + 1)

17 \times 10 + 17

170 + 17

187

‖

11 \times 20

20 \times (10 + 1)

20 \times 10 + 20

200 + 20

220

\frac{60 + 187}{220}

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

60 + 187

247

▶Result:

\frac{247}{220}

The numeric value of:

\frac{247}{220}

equals:

▷

\approx 1.1227