explain 2/13+11/17 — step-by-step solution

Let's calculate:

\frac{2}{13} + \frac{11}{17}

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

\frac{2 \times 17 + 11 \times 13}{13 \times 17}

ⓘMultiplications are done before additions and subtractions:

2 \times 17

(10 + 7) \times 2

10 \times 2 + 7 \times 2

20 + 14

34

‖

11 \times 13

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

‖

13 \times 17

17 \times (10 + 3)

17 \times 10 + 17 \times 3

170 + 51

221

\frac{34 + 143}{221}

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

34 + 143

177

▶Result:

\frac{177}{221}

The approximate value of:

\frac{177}{221}

is:

▷

\approx 0.8009