Multiplying and dividing rationals

Simplify
 $\frac{10x^8y^5}{4x^2y^5}$  

•  $6x^6y$  

•  $\frac{5x^6}{2}$  

•  $\frac{5x^6y}{2}$  

•  $6x^6$  

Tags

CCSS.8.EE.A.1

 $\frac{5x}{7}\div\frac{3x}{28}$  

•  $\frac{15x^2}{196}$  

•  $\frac{20}{3}$  

•  $\frac{140x}{21}$  

•  $\frac{5x}{21}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x+4}{5}\times\frac{25}{x+4}$  

•  $\frac{\left(x+4\right)^2}{125}$  

•  $\frac{25\left(x+4\right)}{5\left(x+4\right)}$  

•  $5\left(x+4\right)$  

• 5

Tags

CCSS.HSA.APR.D.7

A team of workers took 225.5 hours to complete a task. A smaller team of workers will complete the same task, but it will take them 1.5 times as long as it took the first team. How long will it take the smaller team to complete the job?

• 338.25 hours

• 3382.50 hours

• 33.82 hours

• 400 hours

Tags

CCSS.7.EE.B.3

 $\frac{x+9}{3x+2}\times\frac{x+8}{x+9}\div\frac{x+8}{3x+2}$  
Complete and simplify.

•  $\frac{\left(x+8\right)^2}{\left(3x+2\right)^2}$  

•  $\frac{\left(x+8\right)^2\left(x+9\right)}{\left(3x+2\right)^2\left(x+9\right)}$  

•  $1$  

•  $\frac{\left(x+9\right)\left(x+8\right)\left(3x+2\right)}{\left(3x+2\right)\left(x+9\right)\left(x+8\right)}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{45x^3y^5}{14m^2n^4}\times\frac{7mx}{3ny^4}\div\frac{5x^2y}{2n^3}$  

•  $\frac{1575x^6y^6m}{84m^2n^8y^4}$  

•  $\frac{15x^2}{mn^2}$  

•  $\frac{125x^2y^6mn}{24}$  

•  $15xymn$  

Tags

CCSS.HSA.APR.D.7

 $\frac{x^2+6x+5}{x+1}\div\frac{x\left(x+5\right)}{9}$  

•  $\frac{x\left(x+5\right)^2}{9}$  

•  $\frac{2x^2+11x+5}{x+10}$  

•  $\frac{x^2+6x}{9}$  

•  $\frac{9}{x}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{8}{n-2}\times\frac{5n+50}{n+10}$  

Simplify. Begin by factoring (check for GCF).

•  $n+4$  

•  $n-4$ 

•  $\frac{n+4}{5}$  

•  $\frac{40}{n-2}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{\left(x+3\right)\left(x+8\right)}{\left(x+8\right)\left(x-4\right)}$  

•  $\frac{x+7}{x-4}$  

•  $-\frac{3}{4}$  

•  $\frac{x+3}{x+4}$  

•  $\frac{x+3}{x-4}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x^2-8x-20}{x-10}\times\frac{3x}{x+2}$  
Simplify. **Hint: factor first!

•  $3x$  

•  $\frac{x+9}{\left(x-6\right)\left(x+10\right)}$  

•  $\frac{5}{4}$  

•  $\frac{5}{3}$  

Tags

CCSS.HSA.APR.D.6