explain 1/13-4/9 — step-by-step solution

Let's calculate:

\frac{1}{13} - \frac{4}{9}

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

\frac{1 \times 9 - 4 \times 13}{13 \times 9}

ⓘMultiplications are done before additions and subtractions:

-4 \times 13

(10 + 3) \times -4

10 \times -4 + 3 \times -4

- 40 - 12

-52

‖

13 \times 9

(10 + 3) \times 9

10 \times 9 + 3 \times 9

90 + 27

117

ℹ

1 \times 9

9

\frac{9 - 52}{117}

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

9 - 52

-43

▶Result:

- \frac{43}{117}

The approximate value of:

- \frac{43}{117}

is:

▷

\approx -0.3675