CPM Homework Help : CC1 Problem 7-23

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7-23.

Calculate each of the following products.

$\frac { 2 } { 5 } \cdot \frac { 11 } { 14 }$
Answer (a):
$\frac{2}{5}\cdot\frac{11}{14}= \frac{11}{35}$

$12\%\text{ of }32.8$
Hint (b):
$0.12(32.8) = ?$

$(27.4)(0.02)$
Hint (c):
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.
$2$
$\frac{3}{10}$
$\frac{5}{100}$
$1$
$2$
$\frac{3}{10}$
$\frac{5}{100}$
$\frac{4}{10}$
$\frac{8}{10}$
$\frac{12}{100}$
$\frac{20}{1000}$
$2$
$0.3$
$0.05$
$1$
$2$
$0.3$
$0.05$
$0.4$
$0.8$
$0.12$
$0.020$

$2 \frac { 2 } { 3 } \cdot \frac { 3 } { 11 }$
Hint (d):
This can be written as:
$\left ( \frac{8}{3} \right )\left ( \frac{3}{11} \right )$

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