explain 11/12+1/7 — step-by-step solution

Let's evaluate:

\frac{11}{12} + \frac{1}{7}

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

\frac{11 \times 7 + 1 \times 12}{12 \times 7}

ⓘMultiplications are done before additions and subtractions:

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

‖

12 \times 7

(10 + 2) \times 7

10 \times 7 + 2 \times 7

70 + 14

84

ℹ

1 \times 12

12

\frac{77 + 12}{84}

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

77 + 12

89

▶Result:

\frac{89}{84}

The numeric value of:

\frac{89}{84}

equals:

▷

\approx 1.0595