explain 11/19+9/20 — step-by-step solution

Let's evaluate:

\frac{11}{19} + \frac{9}{20}

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

\frac{11 \times 20 + 9 \times 19}{19 \times 20}

ⓘMultiplications are done before additions and subtractions:

11 \times 20

20 \times (10 + 1)

20 \times 10 + 20

200 + 20

220

‖

9 \times 19

(10 + 9) \times 9

10 \times 9 + 9 \times 9

90 + 81

171

‖

19 \times 20

20 \times (10 + 9)

20 \times 10 + 20 \times 9

200 + 180

380

\frac{220 + 171}{380}

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

220 + 171

391

▶Result:

\frac{391}{380}

The approximate value of:

\frac{391}{380}

equals:

▷

\approx 1.0289