explain 5/6-9/13 — step-by-step solution

Let's evaluate:

\frac{5}{6} - \frac{9}{13}

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

\frac{5 \times 13 - 9 \times 6}{6 \times 13}

ⓘMultiplications are done before additions and subtractions:

5 \times 13

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

‖

6 \times 13

(10 + 3) \times 6

10 \times 6 + 3 \times 6

60 + 18

78

ℹ

-9 \times 6

-54

\frac{65 - 54}{78}

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

65 - 54

11

▶Result:

\frac{11}{78}

The approximate value of:

\frac{11}{78}

is:

▷

\approx 0.1410