simplify 1/2+1/3-1/6 — step-by-step solution

Let's simplify:

\frac{1}{2} + \frac{1}{3} - \frac{1}{6}

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

6

, the least common multiple of

2

and

3

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

\frac{1}{2} + \frac{1}{3}

\frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2}

\frac{1 \times 3 + 1 \times 2}{2 \times 3}

\frac{3 + 2}{2 \times 3}

\frac{3 + 2}{2 \times 3} - \frac{1}{6}

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

3 + 2

5

ⅰ

2 \times 3

6

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

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

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

\frac{5 - 1}{6}

\frac{5 - 1}{6}

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

5 - 1

4

\frac{4}{6}

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

2

, their greatest common divisor:

\frac{4}{6}

\frac{2 \times 2}{3 \times 2}

\frac{2}{3}

▶Simplified form:

\frac{2}{3}

The numeric value of:

\frac{2}{3}

equals:

▷

\approx 0.6667