Evaluate 3/4-5/2

$\frac{3}{4} - \frac{5}{2}$

Step 1

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

$\frac{3}{4} - \frac{5}{2} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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

$\frac{3}{4} - \frac{5 \cdot 2}{2 \cdot 2}$

Multiply $2$ by $2$ .

$\frac{3}{4} - \frac{5 \cdot 2}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 - 5 \cdot 2}{4}$

Step 4

Simplify the numerator.

Multiply $- 5$ by $2$ .

$\frac{3 - 10}{4}$

Subtract $10$ from $3$ .

$\frac{- 7}{4}$

Step 5

Move the negative in front of the fraction.

$- \frac{7}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{4}$

Decimal Form:

$- 1.75$

Mixed Number Form:

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