explain 10/17-9/20 — step-by-step solution

Let's calculate:

\frac{10}{17} - \frac{9}{20}

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

\frac{10 \times 20 - 9 \times 17}{17 \times 20}

ⓘMultiplications are done before additions and subtractions:

10 \times 20

200

‖

-9 \times 17

(10 + 7) \times -9

10 \times -9 + 7 \times -9

- 90 - 63

-153

‖

17 \times 20

20 \times (10 + 7)

20 \times 10 + 20 \times 7

200 + 140

340

\frac{200 - 153}{340}

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

200 - 153

47

▶Result:

\frac{47}{340}

The approximate value of:

\frac{47}{340}

is:

▷

\approx 0.1382