Equations with Rational Coefficients (Solving Steps)

Identify the solving step.

 $-4.5x\ =\ 85.5$  

• divide both sides by 4.5

• divide both sides by -4.5 

• multiply both sides by -4.5

• divide both sides by 85.5

Identify the solving step.

 $23.4=\ 7.8y$  

• divide both sides by 23.4

• divide both sides by 7.8

• multiply both sides by 23.4

• multiply both sides by 7.8
  

Identify the solving step.

 $\frac{2}{5}h=\ \frac{4}{7}$  

• multiply both sides by $\ \frac{2}{5}$  
  

• multiply both sides by $\frac{7}{4}$  
  

• multiply both sides by $\frac{5}{2}$  

Identify the solving step.

 $\frac{2}{5}=\ \frac{4}{7}t$  

• multiply both sides by $\frac{2}{5}$  
  

• multiply both sides by $\ \frac{7}{4}$  
  

• multiply both sides by $\frac{5}{2}$  

• multiply both sides by $\frac{4}{7}$  

Identify the solving step.

 $3\frac{1}{4}h\ =\ \frac{3}{7}$  
hint: convert the mixed number to improper first! ... then find the solving step! 

• multiply both sides by $\frac{3}{7}$  
  

• multiply both sides by $\ \frac{7}{3}$  
  

• multiply both sides by $\frac{4}{13}$  

• multiply both sides by $\frac{13}{4}$  

Identify the solving step.

 $\frac{6}{11}\ =\ \frac{1}{7}d$  

• multiply both sides by $\ \frac{6}{11}$  
  

• multiply both sides by $\frac{11}{6}$  
  

• multiply both sides by $\ \frac{7}{1}$  

• multiply both sides by $\ \frac{1}{7}$