explain 5/6+7/19 — step-by-step solution

Let's evaluate:

\frac{5}{6} + \frac{7}{19}

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

\frac{5 \times 19 + 7 \times 6}{6 \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

‖

6 \times 19

(10 + 9) \times 6

10 \times 6 + 9 \times 6

60 + 54

114

ℹ

7 \times 6

42

\frac{95 + 42}{114}

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

95 + 42

137

▶Result:

\frac{137}{114}

The numeric value of:

\frac{137}{114}

equals:

▷

\approx 1.2018