Question

Simplify the rational expression. (Your final answer should have one term.)

$\frac{3}{4} - \frac{2}{9} + \frac{3}{2}$

Answer 1

Answer:

$\frac{73}{36}$

Step-by-step explanation:

$\frac{3}{4}$ - $\frac{2}{9}$ + $\frac{3}{2}$

1. Convert all the fractions to a common denominator.

For this problem, the common denominator will be 36

$\frac{3}{4}$ * 9 = $\frac{27}{36}$

$\frac{2}{9}$ * 4 = $\frac{8}{36}$

$\frac{3}{2}$ * 18 = $\frac{54}{36}$

2. Substitute the values back into the equation, and solve

$\frac{3}{4}$ - $\frac{2}{9}$ + $\frac{3}{2}$

= $\frac{27}{36}$ - $\frac{8}{36}$ + $\frac{54}{36}$

= $\frac{19}{36}$ + $\frac{54}{36}$

= $\frac{73}{36}$

Answer 2

Answer:

• 2 1/36

Step-by-step explanation:

• 3/4 - 2/9 + 3/2 =
• 3/4*9/9 - 2/9*4/4 + 3/2*18/18 =   ⇒ Common denominator LCM(4,9,2)=36
• 27/36 - 8/36 + 54/36 =
• (27 - 8 + 54)/36 =
• 73/36 =
• 2 1/36