explain 13/19-13/16 — step-by-step solution

Let's evaluate:

\frac{13}{19} - \frac{13}{16}

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

\frac{13 \times 16 - 13 \times 19}{19 \times 16}

ⓘMultiplications are done before additions and subtractions:

13 \times 16

16 \times (10 + 3)

16 \times 10 + 16 \times 3

160 + 48

208

‖

-13 \times 19

19 \times (- 10 - 3)

19 \times -10 + 19 \times -3

- 190 - 57

-247

‖

19 \times 16

19 \times (10 + 6)

19 \times 10 + 19 \times 6

190 + 114

304

\frac{208 - 247}{304}

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

208 - 247

-39

▶Result:

- \frac{39}{304}

The numeric value of:

- \frac{39}{304}

is:

▷

\approx -0.1283