explain 11/12+1/9 — step-by-step solution

Let's evaluate:

\frac{11}{12} + \frac{1}{9}

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

\frac{11 \times 3 + 1 \times 4}{12 \times 3}

ⓘMultiplications are done before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

‖

12 \times 3

(10 + 2) \times 3

10 \times 3 + 2 \times 3

30 + 6

36

ℹ

1 \times 4

4

\frac{33 + 4}{36}

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

33 + 4

37

▶Result:

\frac{37}{36}

The approximate value of:

\frac{37}{36}

equals:

▷

\approx 1.0278