CPM Homework Help : CC2 Problem 2-101

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2-101.

Multiply the mixed numbers.

Hint:

Convert the mixed numbers to fractions greater than one before multiplying.

$1\frac{1}{3}\cdot1\frac{1}{2}$
Hint (a):
Multiply the whole number by a Giant One so that it has the same denominator as its fraction.
More Help (a):
For an example, see part (c).

$3\frac{1}{3}\cdot2\frac{1}{2}$
Hint (b):
Multiply two fractions together by writing the product of their numerators over the product of their denominators.
More Help (b):
For an example, see part (c).

$2\frac{1}{2}\cdot2\frac{1}{2}$
Step 1 (c):
$\left(2\cdot\frac{2}{2}+\frac{1}{2}\right)\cdot\left(2\cdot\frac{2}{2}+\frac{1}{2}\right)$
Step 2 (c):
$\left(\frac{4}{2}+\frac{1}{2}\right)\cdot\left(\frac{4}{2}+\frac{1}{2}\right)$
Step 3 (c):
$\frac{5}{5}\cdot\frac{5}{2}=\frac{25}{4}=6\frac{1}{4}$

$2\frac{1}{2}\cdot1\frac{1}{4}$
Answer (d):
$\frac{25}{8}=3\frac{1}{8}$

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