Answer
solution
Work Step by Step
w - $\frac{2}{3}$ = $\frac{3}{4}$
We begin by converting 1$\frac{5}{12}$ from a mixed number to an improper fraction
Substitute $\frac{17}{12}$ for w
$\frac{17}{12}$ - $\frac{2}{3}$ = $\frac{3}{4}$
Evaluate the expression
The least common denominator for the denominators 12 and 3 is 12.
To obtain denominators of 12, multiply the numerator and denominator of the second fraction by 4
$\frac{17}{12}$ - $\frac{2*4}{3*4}$
$\frac{17}{12}$ - $\frac{8}{12}$ = $\frac{17 - 8}{12}$ = $\frac{9}{12}$
Reduce to lowest terms
$\frac{9}{12}$ = $\frac{3}{4}$
The statement is true. 1$\frac{5}{12}$ is the solution of the equation