CPM Homework Help : CC1MN Problem 9-52

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9-52.

Simplify each of the following expressions.

Hint (a), (b), and (c):

For parts (a), (b), and (c), find the common denominators of both fractions, then divide the numerators to find the answer.

$\frac { 2 } { 3 } \div \frac { 1 } { 12 }$
Hint (a):
$\frac{2}{3}=\frac{8}{12}$
More Help (a):
$\frac{2}{3}\div\frac{1}{12}=\frac{8}{12}\div\frac{1}{12}=8\div1$
Answer (a):
8

$\frac { 5 } { 6 } \div \frac { 5 } { 12 }$
Answer (b):
2

$\frac { 5 } { 6 } \div \frac { 3 } { 12 }$

$\frac { 2 } { 3 } \cdot 3 \frac { 1 } { 2 }$
Hint (d):
For part (d), change the mixed number to a fraction and then multiply.
More Help (d):
$\frac{a}{b}\cdot\frac{c}{d}=\frac{a \cdot\ c}{b \cdot\ d}$

$5.2 +\frac { 7 } { 10 }$
Hint (e):
$\text{If}\ \frac{7}{10}\ \text{ is equal to } 0.7,\\ \text{can you add}\\ \text{the decimals?}$
Answer (e):
$5.9,\ \text{or}\ 5\frac{9}{10}$

$3\frac { 2 } { 5 }− 2.75$
Hint (f):
$3\frac{2}{5} = 3\frac{4}{10} = 3.4$

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