explain 7/13+11/15 — step-by-step solution

Let's evaluate:

\frac{7}{13} + \frac{11}{15}

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

\frac{7 \times 15 + 11 \times 13}{13 \times 15}

ⓘMultiplications are done before additions and subtractions:

7 \times 15

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

‖

11 \times 13

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

‖

13 \times 15

15 \times (10 + 3)

15 \times 10 + 15 \times 3

150 + 45

195

\frac{105 + 143}{195}

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

105 + 143

248

▶Result:

\frac{248}{195}

The approximate value of:

\frac{248}{195}

is:

▷

\approx 1.2718