explain 13/16-11/13 — step-by-step solution

Let's evaluate:

\frac{13}{16} - \frac{11}{13}

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

\frac{13 \times 13 - 11 \times 16}{16 \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

‖

-11 \times 16

16 \times (- 10 - 1)

16 \times -10 + 16 \times -1

- 160 - 16

-176

‖

16 \times 13

16 \times (10 + 3)

16 \times 10 + 16 \times 3

160 + 48

208

\frac{169 - 176}{208}

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

169 - 176

-7

▶Result:

- \frac{7}{208}

The approximate value of:

- \frac{7}{208}

is:

▷

\approx -3.3654 \times 10^{- 2}