explain 13/15+3/11 — step-by-step solution

Let's calculate:

\frac{13}{15} + \frac{3}{11}

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

\frac{13 \times 11 + 3 \times 15}{15 \times 11}

ⓘMultiplications are done before additions and subtractions:

13 \times 11

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

‖

3 \times 15

(10 + 5) \times 3

10 \times 3 + 5 \times 3

30 + 15

45

‖

15 \times 11

15 \times (10 + 1)

15 \times 10 + 15

150 + 15

165

\frac{143 + 45}{165}

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

143 + 45

188

▶Result:

\frac{188}{165}

The approximate value of:

\frac{188}{165}

is:

▷

\approx 1.1394