explain 5/11+9/13 — step-by-step solution

Let's evaluate:

\frac{5}{11} + \frac{9}{13}

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

\frac{5 \times 13 + 9 \times 11}{11 \times 13}

ⓘMultiplications are done before additions and subtractions:

5 \times 13

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

‖

9 \times 11

(10 + 1) \times 9

10 \times 9 + 9

90 + 9

99

‖

11 \times 13

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

\frac{65 + 99}{143}

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

65 + 99

164

▶Result:

\frac{164}{143}

The numeric value of:

\frac{164}{143}

equals:

▷

\approx 1.1469