Question

Solve for x.
X+2 1/4=4 3/4
A.)1 3/4
B.)2 1/4
C.) 2 1/2
D.) 2 3/4

Answer 1

C.) 2 1/2

Explanation:

X+2 1/4=4 3/4

Subtract 2 1/4 from each side

X+2 1/4 - 2 1/4=4 3/4 - 2 1/4

x = 2 2/4

This simplifies to

x = 2 1/2

Answer 2

C.) 2 1/2

Explanation:

X + 2 1/4 = 4 3/4

Change the fractions to improper fractions .

We have

X + 9/4 = 19/4

Subtract 9/4 from both sides

X + 9/4 - 9/4 = 19/4 - 9/4

X = 19/4 - 9/4

Look for the LCM of the denominators.

The LCM is 4

Divide the LCM by the denominators and multiply the results by the numerators, the lcm becomes the denominator of the results.

That’s

X = 19 - 9 /4

= 10/4

Divide both numerator and denominator by 2

= 5/2

= 2 1/2