Multiply and Divide Fractions: example 4.28

Multiply, and write the answer in simplified form:

ⓐ $\frac{1}{7} \cdot 56$

ⓑ $\frac{12}{5} (−20 x)$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Multiply, and write the answer in simplified form:

How did it go?

ⓐ
	$\frac{1}{7} \cdot 56$
Write 56 as a fraction.	$\frac{1}{7} \cdot \frac{56}{1}$
Determine the sign of the product; multiply.	$\frac{56}{7}$
Simplify.	$8$

ⓑ
	$\frac{12}{5} (−20 x)$
Write −20x as a fraction.	$\frac{12}{5} (\frac{−20 x}{1})$
Determine the sign of the product; multiply.	$- \frac{12 \cdot 20 \cdot x}{5 \cdot 1}$
Show common factors and then remove them.
Multiply remaining factors; simplify.	−48x

ⓐ
	$\frac{1}{7} \cdot 56$
Write 56 as a fraction.	$\frac{1}{7} \cdot \frac{56}{1}$
Determine the sign of the product; multiply.	$\frac{56}{7}$
Simplify.	$8$

ⓑ
	$\frac{12}{5} (−20 x)$
Write −20x as a fraction.	$\frac{12}{5} (\frac{−20 x}{1})$
Determine the sign of the product; multiply.	$- \frac{12 \cdot 20 \cdot x}{5 \cdot 1}$
Show common factors and then remove them.
Multiply remaining factors; simplify.	−48x