### Home > CCA2 > Chapter 2 > Lesson 2.1.4 > Problem2-57

2-57.

If $\frac { 2 } { 3 }$ of $A$ is $\frac { 5 } { 12 }$, and $\frac { 4 } { 3 }$ of $B$ is $\frac { 8 } { 9 }$, which is larger, $A$ or $B$

Write an equation for each variable.

$\frac{2}{3}\text{A}=\frac{5}{12}$
Now write the second equation for $B$. Solve each equation for
the variable. Compare the value of each.

To eliminate the $\frac{2}{3}$ you don't need to divide using a calculator.
A better strategy is to multiply both sides of the equation by $\frac{3}{2}$, the reciprocal of $\frac{2}{3}$

$B$ is larger.