CPM Homework Help : MC1 Problem 8-98

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8-98.

Calculate each of the following products.

$\frac { 1 } { 8 } \cdot \frac { 8 } { 1 }$
Step 1(a):
Multiply the numerators by one another and the denominators by one another.
$\left(\frac{1}{8}\right)\left(\frac{8}{1}\right)=\frac{(1)(8)}{(8)(1)}$
Step 2(a):
Simplify the fraction.
$\frac{8}{8}=1$
Answer (a):
$1$

$\frac { 3 } { 4 } \cdot \frac { 4 } { 3 }$
Hint (b):
Follow the same steps as in part (a).
Answer (b):
$1$

$\frac { 2 } { 3 } \cdot \frac { 3 } { 2 }$
Hint (c) & (d):
Parts (c) and (d) are very similar to part (a).

$7 \cdot \frac { 1 } { 7 }$

What do the products in parts (a) through (d) have in common?

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