explain 1/6-5/14 — step-by-step solution

Let's calculate:

\frac{1}{6} - \frac{5}{14}

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

\frac{1 \times 7 - 5 \times 3}{6 \times 7}

ⓘMultiplications are done before additions and subtractions:

-5 \times 3

-15

ℹ

1 \times 7

7

‖

6 \times 7

42

\frac{7 - 15}{42}

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

7 - 15

-8

- \frac{8}{42}

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

2

- \frac{8}{42}

\frac{-4 \times 2}{21 \times 2}

- \frac{4}{21}

▶Result:

- \frac{4}{21}

The approximate value of:

- \frac{4}{21}

equals:

▷

\approx -0.1905