explain 19/20-13/18 — step-by-step solution

Let's calculate:

\frac{19}{20} - \frac{13}{18}

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

\frac{19 \times 9 - 13 \times 10}{20 \times 9}

ⓘMultiplications are done before additions and subtractions:

19 \times 9

(10 + 9) \times 9

10 \times 9 + 9 \times 9

90 + 81

171

‖

-13 \times 10

(- 10 - 3) \times 10

- 10 \times 10 - 3 \times 10

- 100 - 30

-130

ℹ

20 \times 9

180

\frac{171 - 130}{180}

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

171 - 130

41

▶Result:

\frac{41}{180}

The numeric value of:

\frac{41}{180}

is:

▷

\approx 0.2278