explain 5/18-9/14 — step-by-step solution

Let's evaluate:

\frac{5}{18} - \frac{9}{14}

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

\frac{5 \times 7 - 9 \times 9}{18 \times 7}

ⓘMultiplications are done before additions and subtractions:

5 \times 7

35

‖

18 \times 7

(10 + 8) \times 7

10 \times 7 + 8 \times 7

70 + 56

126

ℹ

-9 \times 9

-81

\frac{35 - 81}{126}

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

35 - 81

-46

- \frac{46}{126}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

- \frac{46}{126}

\frac{-23 \times 2}{63 \times 2}

- \frac{23}{63}

▶Result:

- \frac{23}{63}

The approximate value of:

- \frac{23}{63}

equals:

▷

\approx -0.3651