explain 11/14+13/16 — step-by-step solution

Let's evaluate:

\frac{11}{14} + \frac{13}{16}

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

\frac{11 \times 8 + 13 \times 7}{14 \times 8}

ⓘMultiplications are done before additions and subtractions:

11 \times 8

(10 + 1) \times 8

10 \times 8 + 8

80 + 8

88

‖

13 \times 7

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

‖

14 \times 8

(10 + 4) \times 8

10 \times 8 + 4 \times 8

80 + 32

112

\frac{88 + 91}{112}

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

88 + 91

179

▶Result:

\frac{179}{112}

The approximate value of:

\frac{179}{112}

is:

▷

\approx 1.5982