1/7-2/3

Let's evaluate: $\frac{1}{7}-\frac{2}{3}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $21$, the least common multiple of $7$ and $3$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{1}{7}-\frac{2}{3}$ = $\frac{1\times 3}{7\times 3}-\frac{2\times 7}{3\times 7}$ = $\frac{1\times 3-2\times 7}{7\times 3}$ = $\frac{3-2\times 7}{7\times 3}$

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

ⓘ Multiplications are done before additions and subtractions: $2\times 7$ = $14$

ⅰ $7\times 3$ = $21$

$\frac{3-14}{21}$

ⓘ The numerator and the denominator are computed before the division: $3-14$ = $-11$

▶Result:   $-\frac{11}{21}$

The numeric value of: $-\frac{11}{21}$ equals:

▷ $\approx -0.5238$