Solve 71/4-133/4

$$7 \frac{ 1 }{ 4 } -13 \frac{ 3 }{ 4 }$$

Evaluate

$$-\frac{13}{2}=-6.5$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}-\frac{13\times 4+3}{4}$$

Add 28 and 1 to get 29.

$$\frac{29}{4}-\frac{13\times 4+3}{4}$$

Multiply 13 and 4 to get 52.

$$\frac{29}{4}-\frac{52+3}{4}$$

Add 52 and 3 to get 55.

$$\frac{29}{4}-\frac{55}{4}$$

Since \frac{29}{4} and \frac{55}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-55}{4}$$

Subtract 55 from 29 to get -26.

$$\frac{-26}{4}$$

Reduce the fraction \frac{-26}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{13}{2}$$

Factor

$$-\frac{13}{2} = -6\frac{1}{2} = -6.5$$