11/14-5/6

Let's calculate:

\frac{11}{14} - \frac{5}{6}

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

42

, the least common multiple of

14

and

6

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

\frac{11}{14} - \frac{5}{6}

\frac{11 \times 3}{14 \times 3} - \frac{5 \times 7}{6 \times 7}

\frac{11 \times 3 - 5 \times 7}{14 \times 3}

\frac{11 \times 3 - 5 \times 7}{14 \times 3}

ⓘ Multiplications are done before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

5 \times 7

35

ⅰ

14 \times 3

(10 + 4) \times 3

10 \times 3 + 4 \times 3

30 + 12

42

\frac{33 - 35}{42}

ⓘ Calculate the numerator and denominator before dividing:

33 - 35

-2

- \frac{2}{42}

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

2

, their greatest common divisor:

- \frac{2}{42}

- \frac{1 \times 2}{21 \times 2}

- \frac{1}{21}

▶Result:

- \frac{1}{21}

The numeric value of:

- \frac{1}{21}

equals:

▷

\approx -4.7619 \times 10^{- 2}

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