explain 9/19-9/10 — step-by-step solution

Let's evaluate:

\frac{9}{19} - \frac{9}{10}

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

\frac{9 \times 10 - 9 \times 19}{19 \times 10}

ⓘMultiplications are done before additions and subtractions:

9 \times 10

90

‖

-9 \times 19

(10 + 9) \times -9

10 \times -9 + 9 \times -9

- 90 - 81

-171

‖

19 \times 10

(10 + 9) \times 10

10 \times 10 + 9 \times 10

100 + 90

190

\frac{90 - 171}{190}

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

90 - 171

-81

▶Result:

- \frac{81}{190}

The approximate value of:

- \frac{81}{190}

equals:

▷

\approx -0.4263