explain 5/16-3/11 — step-by-step solution

Let's calculate:

\frac{5}{16} - \frac{3}{11}

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

\frac{5 \times 11 - 3 \times 16}{16 \times 11}

ⓘMultiplications are done before additions and subtractions:

5 \times 11

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

‖

-3 \times 16

(10 + 6) \times -3

10 \times -3 + 6 \times -3

- 30 - 18

-48

‖

16 \times 11

16 \times (10 + 1)

16 \times 10 + 16

160 + 16

176

\frac{55 - 48}{176}

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

55 - 48

7

▶Result:

\frac{7}{176}

The approximate value of:

\frac{7}{176}

equals:

▷

\approx 3.9773 \times 10^{- 2}