Combining Like Terms

Use the circle method to change the mixed fraction to an improper fraction: $$2\frac{1}{4}$$  

Find a common denominator among the two fractions: $$\frac{1}{6}$$  and $$\frac{2}{3}$$  

The inverse of $$\frac{2}{3}$$ is

(a)  

Combine like terms: -0.67x + 2.3x = 10

Simplify the fraction: $$\frac{10}{4}$$  

Use keep, change, flip to solve for x: $$\frac{3}{8}x\ =\ 24$$

Use the circle method to rewrite the fraction: $$2\frac{3}{7}$$  

Combine like terms: $$\frac{1}{5}x\ +\ \frac{2}{5}x\ =\ 15$$

Turn the improper fraction into a mixed number: $$\frac{14}{6}$$  

Combine like terms: $$\frac{2}{3}x\ +\ \frac{1}{6}x\ =\ 30$$