explain 7/11+4/15 — step-by-step solution

Let's calculate:

\frac{7}{11} + \frac{4}{15}

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

\frac{7 \times 15 + 4 \times 11}{11 \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

‖

4 \times 11

(10 + 1) \times 4

10 \times 4 + 4

40 + 4

44

‖

11 \times 15

15 \times (10 + 1)

15 \times 10 + 15

150 + 15

165

\frac{105 + 44}{165}

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

105 + 44

149

▶Result:

\frac{149}{165}

The approximate value of:

\frac{149}{165}

equals:

▷

\approx 0.9030