explain 2/11+11/14 — step-by-step solution

Let's calculate:

\frac{2}{11} + \frac{11}{14}

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

\frac{2 \times 14 + 11 \times 11}{11 \times 14}

ⓘMultiplications are done before additions and subtractions:

2 \times 14

(10 + 4) \times 2

10 \times 2 + 4 \times 2

20 + 8

28

‖

11 \times 11

11 \times (10 + 1)

11 \times 10 + 11

110 + 11

121

‖

11 \times 14

14 \times (10 + 1)

14 \times 10 + 14

140 + 14

154

\frac{28 + 121}{154}

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

28 + 121

149

▶Result:

\frac{149}{154}

The numeric value of:

\frac{149}{154}

is:

▷

\approx 0.9675