Home > CC1 > Chapter 7 > Lesson 7.1.2 > Problem7-23

7-23.

Calculate each of the following products.

1. $\frac { 2 } { 5 } \cdot \frac { 11 } { 14 }$

$\frac{2}{5}\cdot\frac{11}{14}= \frac{11}{35}$

1. $12\%\text{ of }32.8$

$0.12(32.8) = ?$

1. $(27.4)(0.02)$

Try using a generic rectangle like the ones pictured below.

Here we show how to compute $1.4\left(2.35\right)$ both ways by using generic rectangles.

 $2$ $\frac{3}{10}$ $\frac{5}{100}$ $1$ $2$ $\frac{3}{10}$ $\frac{5}{100}$ $\frac{4}{10}$ $\frac{8}{10}$ $\frac{12}{100}$ $\frac{20}{1000}$
 $2$ $0.3$ $0.05$ $1$ $2$ $0.3$ $0.05$ $0.4$ $0.8$ $0.12$ $0.020$

1. $2 \frac { 2 } { 3 } \cdot \frac { 3 } { 11 }$

This can be written as:

$\left ( \frac{8}{3} \right )\left ( \frac{3}{11} \right )$