explain 11/16+8/15 — step-by-step solution

Let's evaluate:

\frac{11}{16} + \frac{8}{15}

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

\frac{11 \times 15 + 8 \times 16}{16 \times 15}

ⓘMultiplications are done before additions and subtractions:

11 \times 15

15 \times (10 + 1)

15 \times 10 + 15

150 + 15

165

‖

8 \times 16

(10 + 6) \times 8

10 \times 8 + 6 \times 8

80 + 48

128

‖

16 \times 15

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

\frac{165 + 128}{240}

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

165 + 128

293

▶Result:

\frac{293}{240}

The approximate value of:

\frac{293}{240}

is:

▷

\approx 1.2208