Answer
solution
Work Step by Step
w - $\frac{3}{4}$ = $\frac{7}{4}$
We begin by converting 2$\frac{1}{2}$ from a mixed number to an improper fraction
substitute $\frac{5}{2}$ for w
$\frac{5}{2}$ - $\frac{3}{4}$ = $\frac{7}{4}$
Evaluate the expression
The least common denominator for the denominators 2 and 4 is 4.
To obtain denominators of 4, multiply the numerator and denominator of the first fraction by 2
$\frac{5*2}{2*2}$ - $\frac{3}{4}$
$\frac{10}{4}$ - $\frac{3}{4}$ = $\frac{10 - 3}{4}$ = $\frac{7}{4}$
The statement is true. 2$\frac{1}{2}$ is the solution of the equation