1/6-5/14

Let's evaluate:

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

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

42

, the least common multiple of

6

and

14

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{1 \times 7}{6 \times 7} - \frac{5 \times 3}{14 \times 3}

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

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

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

ⓘ Multiplications are done before additions and subtractions:

5 \times 3

15

ⅰ

6 \times 7

42

\frac{7 - 15}{42}

ⓘ Calculate the numerator and denominator before dividing:

7 - 15

-8

- \frac{8}{42}

ⓘ Simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

- \frac{8}{42}

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

- \frac{4}{21}

▶Result:

- \frac{4}{21}

The numeric value of:

- \frac{4}{21}

equals:

▷

\approx -0.1905

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