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
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
x + 2 ¼ = 4 ¾
Solve for x.
Solution:
In order to easily solve for x, we must first change the mixed numbers into improper fractions. To do so, we simply divide the fraction part and add the quotient to the numerator.
2 ¼
= ¼
= 0.25
= 2.25
4 ¾
= ¾
= 0.75
= 4.75
Equate the decimals backs in the equation.
x + 2.25 = 4.75
Transpose 2.25 on the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
x = 4.75 - 2.25
x = 2.5 or 2 ½
Final answer:
C.) 2 1/2