explain 3/19+4/13 — step-by-step solution

Let's evaluate:

\frac{3}{19} + \frac{4}{13}

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

\frac{3 \times 13 + 4 \times 19}{19 \times 13}

ⓘMultiplications are done before additions and subtractions:

3 \times 13

(10 + 3) \times 3

10 \times 3 + 3 \times 3

30 + 9

39

‖

4 \times 19

(10 + 9) \times 4

10 \times 4 + 9 \times 4

40 + 36

76

‖

19 \times 13

19 \times (10 + 3)

19 \times 10 + 19 \times 3

190 + 57

247

\frac{39 + 76}{247}

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

39 + 76

115

▶Result:

\frac{115}{247}

The numeric value of:

\frac{115}{247}

is:

▷

\approx 0.4656