explain 3/13+12/19 — step-by-step solution

Let's calculate:

\frac{3}{13} + \frac{12}{19}

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

\frac{3 \times 19 + 12 \times 13}{13 \times 19}

ⓘMultiplications are done before additions and subtractions:

3 \times 19

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

‖

12 \times 13

13 \times (10 + 2)

13 \times 10 + 13 \times 2

130 + 26

156

‖

13 \times 19

19 \times (10 + 3)

19 \times 10 + 19 \times 3

190 + 57

247

\frac{57 + 156}{247}

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

57 + 156

213

▶Result:

\frac{213}{247}

The numeric value of:

\frac{213}{247}

is:

▷

\approx 0.8623