explain 9/17-3/20 — step-by-step solution

Let's evaluate:

\frac{9}{17} - \frac{3}{20}

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

\frac{9 \times 20 - 3 \times 17}{17 \times 20}

ⓘMultiplications are done before additions and subtractions:

9 \times 20

180

‖

-3 \times 17

(10 + 7) \times -3

10 \times -3 + 7 \times -3

- 30 - 21

-51

‖

17 \times 20

20 \times (10 + 7)

20 \times 10 + 20 \times 7

200 + 140

340

\frac{180 - 51}{340}

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

180 - 51

129

▶Result:

\frac{129}{340}

The numeric value of:

\frac{129}{340}

is:

▷

\approx 0.3794