Write the Fraction in Simplest Form 1 1/2+3/4

$1 \frac{1}{2} + \frac{3}{4}$

Step 1

Convert $1 \frac{1}{2}$ to an improper fraction.

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

$1 + \frac{1}{2} + \frac{3}{4}$

Add $1$ and $\frac{1}{2}$ .

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

$\frac{2}{2} + \frac{1}{2} + \frac{3}{4}$

Combine the numerators over the common denominator.

$\frac{2 + 1}{2} + \frac{3}{4}$

Add $2$ and $1$ .

$\frac{3}{2} + \frac{3}{4}$

Step 2

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

$\frac{3}{2} \cdot \frac{2}{2} + \frac{3}{4}$

Step 3

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

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

$\frac{3 \cdot 2}{2 \cdot 2} + \frac{3}{4}$

Multiply $2$ by $2$ .

$\frac{3 \cdot 2}{4} + \frac{3}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 3}{4}$

Step 5

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{6 + 3}{4}$

Add $6$ and $3$ .

$\frac{9}{4}$