explain 5/12+4/19 — step-by-step solution

Let's calculate:

\frac{5}{12} + \frac{4}{19}

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

\frac{5 \times 19 + 4 \times 12}{12 \times 19}

ⓘMultiplications are done before additions and subtractions:

5 \times 19

(10 + 9) \times 5

10 \times 5 + 9 \times 5

50 + 45

95

‖

4 \times 12

(10 + 2) \times 4

10 \times 4 + 2 \times 4

40 + 8

48

‖

12 \times 19

19 \times (10 + 2)

19 \times 10 + 19 \times 2

190 + 38

228

\frac{95 + 48}{228}

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

95 + 48

143

▶Result:

\frac{143}{228}

The numeric value of:

\frac{143}{228}

equals:

▷

\approx 0.6272