simplify (1-1/2)/(1+1/2) — step-by-step solution

Let's simplify:

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

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

1 - \frac{1}{2}

\frac{2 - 1}{2}

1 + \frac{1}{2}

\frac{2 + 1}{2}

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

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

2 - 1

1

2 + 1

3

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

ⓘ Dividing is multiplying by the reciprocal:

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

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

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

ⓘ To multiply fractions, multiply the numerators together and the denominators together:

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

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

\frac{2}{6}

\frac{2}{6}

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

2

, their greatest common divisor:

\frac{2}{6}

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

\frac{1}{3}

▶Simplified form:

\frac{1}{3}

The numeric value of:

\frac{1}{3}

equals:

▷

\approx 0.3333