Evaluate 1+5/8-1/6

$1 + \frac{5}{8} - \frac{1}{6}$

Find the common denominator.

Write $1$ as a fraction with denominator $1$ .

$\frac{1}{1} + \frac{5}{8} - \frac{1}{6}$

Multiply $\frac{1}{1}$ by $\frac{24}{24}$ .

$\frac{1}{1} \cdot \frac{24}{24} + \frac{5}{8} - \frac{1}{6}$

Multiply $\frac{1}{1}$ by $\frac{24}{24}$ .

$\frac{24}{24} + \frac{5}{8} - \frac{1}{6}$

Multiply $\frac{5}{8}$ by $\frac{3}{3}$ .

$\frac{24}{24} + \frac{5}{8} \cdot \frac{3}{3} - \frac{1}{6}$

Multiply $\frac{5}{8}$ by $\frac{3}{3}$ .

$\frac{24}{24} + \frac{5 \cdot 3}{8 \cdot 3} - \frac{1}{6}$

Multiply $\frac{1}{6}$ by $\frac{4}{4}$ .

$\frac{24}{24} + \frac{5 \cdot 3}{8 \cdot 3} - (\frac{1}{6} \cdot \frac{4}{4})$

Multiply $\frac{1}{6}$ by $\frac{4}{4}$ .

$\frac{24}{24} + \frac{5 \cdot 3}{8 \cdot 3} - \frac{4}{6 \cdot 4}$

Reorder the factors of $8 \cdot 3$ .

$\frac{24}{24} + \frac{5 \cdot 3}{3 \cdot 8} - \frac{4}{6 \cdot 4}$

Multiply $3$ by $8$ .

$\frac{24}{24} + \frac{5 \cdot 3}{24} - \frac{4}{6 \cdot 4}$

Reorder the factors of $6 \cdot 4$ .

$\frac{24}{24} + \frac{5 \cdot 3}{24} - \frac{4}{4 \cdot 6}$

Multiply $4$ by $6$ .

$\frac{24}{24} + \frac{5 \cdot 3}{24} - \frac{4}{24}$

Combine the numerators over the common denominator.

$\frac{24 + 5 \cdot 3 - 4}{24}$

Simplify the expression.

Multiply $5$ by $3$ .

$\frac{24 + 15 - 4}{24}$

Add $24$ and $15$ .

$\frac{39 - 4}{24}$

Subtract $4$ from $39$ .

$\frac{35}{24}$

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{24}$

Decimal Form:

$1.458\overline{3}$

Mixed Number Form:

$1 \frac{11}{24}$