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

Let's calculate:

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

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

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

ⓘMultiplications are done before additions and subtractions:

13 \times 13

13 \times (10 + 3)

13 \times 10 + 13 \times 3

130 + 39

169

‖

20 \times 13

20 \times (10 + 3)

20 \times 10 + 20 \times 3

200 + 60

260

ℹ

-6 \times 20

-120

\frac{169 - 120}{260}

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

169 - 120

49

▶Result:

\frac{49}{260}

The numeric value of:

\frac{49}{260}

equals:

▷

\approx 0.1885