simplify 2/3-2/4 — step-by-step solution

Let's simplify:

\frac{2}{3} - \frac{2}{4}

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

12

, the least common multiple of

3

and

4

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

\frac{2}{3} - \frac{2}{4}

\frac{2 \times 4}{3 \times 4} + \frac{-2 \times 3}{4 \times 3}

\frac{2 \times 4 - 2 \times 3}{3 \times 4}

\frac{2 \times 4 - 2 \times 3}{3 \times 4}

ⓘ Multiplications are done before additions and subtractions:

2 \times 4

8

2 \times 3

6

ⅰ

3 \times 4

12

\frac{8 - 6}{12}

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

8 - 6

2

\frac{2}{12}

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

2

, their greatest common divisor:

\frac{2}{12}

\frac{1 \times 2}{6 \times 2}

\frac{1}{6}

▶Simplified form:

\frac{1}{6}

The numeric value of:

\frac{1}{6}

equals:

▷

\approx 0.1667