explain 2/13+7/11 — step-by-step solution

Let's evaluate:

\frac{2}{13} + \frac{7}{11}

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

\frac{2 \times 11 + 7 \times 13}{13 \times 11}

ⓘMultiplications are done before additions and subtractions:

2 \times 11

(10 + 1) \times 2

10 \times 2 + 2

20 + 2

22

‖

7 \times 13

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

‖

13 \times 11

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

\frac{22 + 91}{143}

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

22 + 91

113

▶Result:

\frac{113}{143}

The numeric value of:

\frac{113}{143}

is:

▷

\approx 0.7902