explain 6/11+6/13 — step-by-step solution

Let's calculate:

\frac{6}{11} + \frac{6}{13}

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

\frac{6 \times 13 + 6 \times 11}{11 \times 13}

ⓘMultiplications are done before additions and subtractions:

6 \times 13

(10 + 3) \times 6

10 \times 6 + 3 \times 6

60 + 18

78

‖

6 \times 11

(10 + 1) \times 6

10 \times 6 + 6

60 + 6

66

‖

11 \times 13

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

\frac{78 + 66}{143}

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

78 + 66

144

▶Result:

\frac{144}{143}

The numeric value of:

\frac{144}{143}

is:

▷

\approx 1.0070