explain 4/11+3/19 — step-by-step solution

Let's calculate:

\frac{4}{11} + \frac{3}{19}

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

\frac{4 \times 19 + 3 \times 11}{11 \times 19}

ⓘMultiplications are done before additions and subtractions:

4 \times 19

(10 + 9) \times 4

10 \times 4 + 9 \times 4

40 + 36

76

‖

3 \times 11

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

‖

11 \times 19

19 \times (10 + 1)

19 \times 10 + 19

190 + 19

209

\frac{76 + 33}{209}

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

76 + 33

109

▶Result:

\frac{109}{209}

The approximate value of:

\frac{109}{209}

equals:

▷

\approx 0.5215