Simplify 5/3+(-7/6)

$\frac{5}{3} + (- \frac{7}{6})$

Remove parentheses.

$\frac{5}{3} - \frac{7}{6}$

To write $\frac{5}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{3} \cdot \frac{2}{2} - \frac{7}{6}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{3}$ by $\frac{2}{2}$ .

$\frac{5 \cdot 2}{3 \cdot 2} - \frac{7}{6}$

Multiply $3$ by $2$ .

$\frac{5 \cdot 2}{6} - \frac{7}{6}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 - 7}{6}$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{10 - 7}{6}$

Subtract $7$ from $10$ .

$\frac{3}{6}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$\frac{3 (1)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$\frac{3 \cdot 1}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 2}$

Rewrite the expression.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$