CPM Homework Help : MC1 Problem 10-105

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10-105.

Estimate the value of each of the following expressions and explain your reasoning. Then check your estimations by calculating them.

$2 \frac { 3 } { 5 } + 1 \frac { 3 } { 4 }$
Hint (a):
Both $\frac{3}{5}$ and $\frac{3}{4}$ are a little over $\frac{1}{2}$ so the sum should be a little above, but close to $4$ .
Answer (a):
$4\frac{7}{20}$

$1 \frac { 4 } { 9 } - \frac { 1 } { 2 }$
Hint (b):
$\frac{4}{9}$ is a little less than $\frac{1}{2}$ so the difference should be a little less than $1$ .

$\frac { 5 } { 8 } \cdot \frac { 7 } { 12 }$
Answer (c):
$\frac{5}{8}\left(\frac{7}{12}\right)=\frac{35}{96}$

$\frac { 4 } { 7 } \div 1 \frac { 3 } { 5 }$
Hint (d):
This is close to $\frac{1}{2}\div1\frac{1}{2}=\frac{1}{2}\div\frac{3}{2}=\frac{1}{3}$

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