CPM Homework Help : MC2 Problem 8-59

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8-59.

Simplify each expression.

$3 \frac { 1 } { 4 } + \frac { 2 } { 5 }$
Hint (a):
Notice that the whole number and the fractions can be added separately.
Step (a):
$3 + \left( \frac{1}{4} + \frac{2}{5} \right)$
Answer (a):
$3 \frac{13}{20}$

$2 \frac { 3 } { 8 } - 1 \frac { 5 } { 7 }$
Hint (b):
You may want to convert the mixed numbers into fractions greater than one before simplifying.
Step (b):
$\frac{19}{8} - \frac{12}{7}$
Answer (b):
$\frac{37}{56}$

$4.25 - 7.06$
Hint (c):
Remember to line up the decimal points when adding or subtracting numbers with decimals.
Answer (c):
$−2.81$

$18 \div \frac { 3 } { 4 }$
Hint (d):
When you divide a fraction, remember you are multiplying its reciprocal.
Solution (d):
$\frac{18}{1} \left( \frac{4}{3} \right)$
Answer (d):
$24$

$- \frac { 4 } { 7 } \cdot ( - \frac { 2 } { 3 } )$
Hint (e):
Multiply.

$- 5 \frac { 1 } { 8 } \cdot 1 \frac { 2 } { 3 }$
Hint (f):
See (d).

$10 \div \frac { 1 } { 2 }$
Hint (g):
Converting the mixed numbers into fractions greater than one may make this expression easier to simplify.
Answer (g):
$-\frac{205}{24}$

$- \frac { 3 } { 11 } + \frac { 1 } { 2 } - \frac { 3 } { 4 }$
Hint (h):
Find a common denominator.

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