explain 19/20-6/13 — step-by-step solution

Let's evaluate:

\frac{19}{20} - \frac{6}{13}

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

\frac{19 \times 13 - 6 \times 20}{20 \times 13}

ⓘMultiplications are done before additions and subtractions:

19 \times 13

19 \times (10 + 3)

19 \times 10 + 19 \times 3

190 + 57

247

‖

20 \times 13

20 \times (10 + 3)

20 \times 10 + 20 \times 3

200 + 60

260

ℹ

-6 \times 20

-120

\frac{247 - 120}{260}

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

247 - 120

127

▶Result:

\frac{127}{260}

The numeric value of:

\frac{127}{260}

equals:

▷

\approx 0.4885