CPM Homework Help : MC2 Problem 7-88

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7-88.

Simplify each expression below.

$2 \frac { 3 } { 10 } - 1 \frac { 2 } { 5 }$
Hint (a):
Simplifying the whole numbers and fractions separately may make this expression easier to solve.
Step (a):
$(2 - 1) + \left( \frac{3}{5} - \frac{2}{5} \right)$

$\frac { 9 } { 3 } \cdot \frac { 4 } { 5 }$
Hint (b):
Multiply the numerators together and the denominators together.
More help (b):
$\frac{9(4)}{3(5)}$

$\frac { 3 } { 4 } + 5 \frac { 7 } { 8 }$
Hint (c):
See (a).

$\frac { 2 } { 9 } \cdot ( - \frac { 3 } { 7 } ) \cdot ( \frac { 14 } { 5 } )$
Hint (d):
See (b).
Answer (d):
$-\frac{4}{15}$

$- \frac { 9 } { 15 } - ( - \frac { 26 } { 45 } )$
Hint (e):
Find a common denominator and simplify.
Step (e):
$-\frac{27}{45} - \left(-\frac{26}{45}\right)$
Answer (e):
$-\frac{1}{45}$

$5 \frac { 1 } { 6 } \cdot ( - \frac { 7 } { 9 } )$
Hint (f):
Converting the mixed number into a fraction greater than one may make this expression easier to solve.
Answer (f):
$-3 \frac{4}{9}$

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