2/9-7/12

Let's evaluate: $\frac{2}{9}-\frac{7}{12}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $36$, the least common multiple of $9$ and $12$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{2}{9}-\frac{7}{12}$ = $\frac{2\times 4}{9\times 4}-\frac{7\times 3}{12\times 3}$ = $\frac{2\times 4-7\times 3}{9\times 4}$

$\frac{2\times 4-7\times 3}{9\times 4}$

ⓘ Perform multiplications before additions and subtractions: $2\times 4$ = $8$, $7\times 3$ = $21$

ⅰ $9\times 4$ = $36$

$\frac{8-21}{36}$

ⓘ The numerator and the denominator are computed before the division: $8-21$ = $-13$

▶Result:   $-\frac{13}{36}$

The numeric value of: $-\frac{13}{36}$ equals:

▷ $\approx -0.3611$