### 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? Homework Help ✎

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.

$\text{To eliminate the } \frac{2}{3}\text{, you don't need to divide using a calculator.}$

$\text{A better strategy is to multiply both sides of the equation by }\frac{3}{2}\text{, the reciprocal of } \frac{2}{3}.$

B is larger.