explain 15/17-1/13 — step-by-step solution

Let's calculate:

\frac{15}{17} - \frac{1}{13}

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

\frac{15 \times 13 - 1 \times 17}{17 \times 13}

ⓘMultiplications are done before additions and subtractions:

15 \times 13

15 \times (10 + 3)

15 \times 10 + 15 \times 3

150 + 45

195

‖

-1 \times 17

(10 + 7) \times -1

10 \times -1 + 7 \times -1

- 10 - 7

-17

‖

17 \times 13

17 \times (10 + 3)

17 \times 10 + 17 \times 3

170 + 51

221

\frac{195 - 17}{221}

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

195 - 17

178

▶Result:

\frac{178}{221}

The approximate value of:

\frac{178}{221}

is:

▷

\approx 0.8054