Multistep Equations with fractions

Do you like working with fractions? (Be honest, I won't be offended)

• Yes

• No

Tags

CCSS.8.EE.C.7B

If there are fractions in an equation, what can we do as step 1 to get rid of them?

• Multiply EVERY term by the lowest common denominator

• erase the denominator/cross it out

• multiply the fractions by the lowest common denominator

• divide both sides by the fraction

 $\frac{2}{3}x+12=\frac{7}{5}\left(x+3\right)$  

What would you multiply this equation by to remove the fractions?

• 3

• 5

• 15

• 8

 $\frac{2}{3}x+12=\frac{7}{5}\left(x+3\right)$  
Once we multiply by 15, what will the equation look like

• 10x+180=21(x+3)

• 10x+12=21(x+3)

• 2x+12=7(x+3)

•  $\frac{30}{3}x+180=\frac{105}{5}\left(x+3\right)$  

 $\frac{m}{3}+\frac{5}{3}=\frac{3m-4}{3}$  

What do you multiply each term by to remove the fraction?

• 3

• 9

• 27

• 81

 $\frac{m}{3}+\frac{5}{3}=\frac{3m-4}{3}$  
What do you get once you multiply every term by 3?

• m+5=3m-4

• 3m+15=9m-12

•  $\frac{3m}{3}+\frac{15}{3}=\frac{3\left(3m-4\right)}{3}$  

•  $\frac{m+5}{3}=\frac{3m-4}{3}$