explain 5/14-3/17 — step-by-step solution

Let's evaluate:

\frac{5}{14} - \frac{3}{17}

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

\frac{5 \times 17 - 3 \times 14}{14 \times 17}

ⓘMultiplications are done before additions and subtractions:

5 \times 17

(10 + 7) \times 5

10 \times 5 + 7 \times 5

50 + 35

85

‖

-3 \times 14

(10 + 4) \times -3

10 \times -3 + 4 \times -3

- 30 - 12

-42

‖

14 \times 17

17 \times (10 + 4)

17 \times 10 + 17 \times 4

170 + 68

238

\frac{85 - 42}{238}

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

85 - 42

43

▶Result:

\frac{43}{238}

The approximate value of:

\frac{43}{238}

is:

▷

\approx 0.1807