explain 9/11+7/9 — step-by-step solution

Let's evaluate:

\frac{9}{11} + \frac{7}{9}

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

\frac{9 \times 9 + 7 \times 11}{11 \times 9}

ⓘMultiplications are done before additions and subtractions:

9 \times 9

81

‖

7 \times 11

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

‖

11 \times 9

(10 + 1) \times 9

10 \times 9 + 9

90 + 9

99

\frac{81 + 77}{99}

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

81 + 77

158

▶Result:

\frac{158}{99}

The approximate value of:

\frac{158}{99}

is:

▷

\approx 1.5960