### Home > MC2 > Chapter 7 > Lesson 7.1.6 > Problem7-57

7-57.

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.

1. $\frac { 6 } { 7 }$$\frac { 5 } { 6 }$

Find a common denominator
for the fractions.
Let's use $42$.

$\text{Multiply } \frac{6}{7}\text{ by }\frac{6}{6}\text{ and }\frac{5}{6}\text{ by }\frac{7}{7}.$
Compare to find the greatest fraction.

1. $\frac { 3 } { 2 }$$\frac { 15 } { 10 }$

These two fractions are equivalent $(=)$.
1. $\frac { 12 } { 10 }$$\frac { 7 } { 5 }$