explain 16/19-9/20 — step-by-step solution

Let's evaluate:

\frac{16}{19} - \frac{9}{20}

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

\frac{16 \times 20 - 9 \times 19}{19 \times 20}

ⓘMultiplications are done before additions and subtractions:

16 \times 20

20 \times (10 + 6)

20 \times 10 + 20 \times 6

200 + 120

320

‖

-9 \times 19

(10 + 9) \times -9

10 \times -9 + 9 \times -9

- 90 - 81

-171

‖

19 \times 20

20 \times (10 + 9)

20 \times 10 + 20 \times 9

200 + 180

380

\frac{320 - 171}{380}

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

320 - 171

149

▶Result:

\frac{149}{380}

The approximate value of:

\frac{149}{380}

is:

▷

\approx 0.3921