Evaluate (1 1/8+1/8)-5/4

$(1 \frac{1}{8} + \frac{1}{8}) - \frac{5}{4}$

Step 1

Convert $1 \frac{1}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$1 + \frac{1}{8} + \frac{1}{8} - \frac{5}{4}$

Add $1$ and $\frac{1}{8}$ .

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

$\frac{8}{8} + \frac{1}{8} + \frac{1}{8} - \frac{5}{4}$

Combine the numerators over the common denominator.

$\frac{8 + 1}{8} + \frac{1}{8} - \frac{5}{4}$

Add $8$ and $1$ .

$\frac{9}{8} + \frac{1}{8} - \frac{5}{4}$

Step 2

Combine fractions.

Combine the numerators over the common denominator.

$\frac{9 + 1}{8} + \frac{- 5}{4}$

Add $9$ and $1$ .

$\frac{10}{8} + \frac{- 5}{4}$

Step 3

Simplify each term.

Cancel the common factor of $10$ and $8$ .

Factor $2$ out of $10$ .

$\frac{2 (5)}{8} + \frac{- 5}{4}$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 \cdot 5}{2 \cdot 4} + \frac{- 5}{4}$

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 4} + \frac{- 5}{4}$

Rewrite the expression.

$\frac{5}{4} + \frac{- 5}{4}$

Move the negative in front of the fraction.

$\frac{5}{4} - \frac{5}{4}$

Step 4

Combine fractions.

Combine the numerators over the common denominator.

$\frac{5 - 5}{4}$

Simplify the expression.

Subtract $5$ from $5$ .

$\frac{0}{4}$

Divide $0$ by $4$ .

$0$