CPM Homework Help : CC3MN Problem 7-59

For each pair of slope ratios, decide if they are equivalent ( $=$ ), or if one slope is greater. If the slopes are not equal, use the greater than ( $>$ ) or less than ( $<$ ) symbol to show which is greater.

$\frac { 6 } { 7 }$ , $\frac { 5 } { 6 }$
Hint (a):
Find a common denominator
for the fractions.
Let's use $42$ .
More Help (a):
$\text{Multiply}\ \frac{6}{7}\ \text{by}\ \frac{6}{6}\ \text{and}\ \frac{5}{6}\ \text{by}\ \frac{7}{7}$
Compare to find the greatest fraction.

$\frac { 3 } { 2 }$ , $\frac { 15 } { 10 }$
Hint (b):
Follow the steps in (a).
Answer (b):
These two fractions are equivalent ( $=$ ).

$\frac { 12 } { 10 }$ , $\frac { 7 } { 5 }$
Hint (c):
Follow the steps in (a).