explain 4/5-5/13 — step-by-step solution

Let's evaluate:

\frac{4}{5} - \frac{5}{13}

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

\frac{4 \times 13 - 5 \times 5}{5 \times 13}

ⓘMultiplications are done before additions and subtractions:

4 \times 13

(10 + 3) \times 4

10 \times 4 + 3 \times 4

40 + 12

52

‖

5 \times 13

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

ℹ

-5 \times 5

-25

\frac{52 - 25}{65}

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

52 - 25

27

▶Result:

\frac{27}{65}

The approximate value of:

\frac{27}{65}

equals:

▷

\approx 0.4154