Basic arithmetic operations

Express  $\frac{8}{9m}-\frac{5-4n}{27m}$  as a single fraction in its simplest form

•  $\frac{24-4n}{27m}$  

•  $\frac{19-4n}{27m}$  

•  $\frac{19+4n}{27m}$  

Tags

CCSS.HSA.APR.D.7

Express  $\frac{6}{7m}-\frac{8-3n}{28m}$  as a single fraction in its simplest form

•  $\frac{28+3n}{28m}$  

•  $\frac{16-3n}{28m}$  

•  $\frac{16+3n}{28}$  

•  $\frac{28-3n}{28m}$  

Tags

CCSS.HSA.APR.D.7

Simplify  $\frac{8-4p}{15m^2p}\div\frac{6mp}{4-p^2}$  

•  $\frac{5\left(2+p\right)}{8}$  

•  $\frac{5m\left(2+p\right)}{8}$  

•  $\frac{15\left(4+p\right)}{20}$  

•  $\frac{15m\left(2+p\right)}{20}$  

Tags

CCSS.HSA.APR.D.6

Simplify  $\frac{5}{a-b\ }-\frac{7d}{6\left(a-b\right)}$  

•  $\frac{5-7d}{a-b}$  

•  $\frac{5-7d}{6\left(a-b\right)}$  

•  $\frac{11-7d}{6\left(a-b\right)}$  

•  $\frac{30-7d}{6\left(a-b\right)\ \ }$  

Tags

CCSS.HSA.APR.D.7

Simplify  $\frac{r+2}{m}\times\frac{m^2\left(r-8\right)}{3r+6}$  

•  $\frac{m\left(r-8\right)}{3}$  

•  $\frac{3}{m\left(r-8\right)}$  

•  $\frac{3m}{r-8}$  

•  $\frac{m^2\left(r-8\right)}{3}$  

Tags

CCSS.HSA.APR.D.7

Simplify  $\frac{8}{n-4}\div\frac{5a}{6n-24}$  

•  $\frac{40a}{n+4}$  

•  $\frac{5a}{48}$  

•  $\frac{48}{5a}$  

•  $\frac{40a}{n-4}$  

Tags

CCSS.HSA.APR.D.6

Express $\frac{7x}{8y}-\frac{2-\frac{3}{4}x}{3y}$  as a single fraction in its simplest form.

•  $\frac{21x^2-16+16x}{24y^2}$  

•  $\frac{21x-16-16x^2}{24y}$  

•  $\frac{15x-16}{24y}$  

•  $\frac{27x-16}{24y}$  

Tags

CCSS.HSA.APR.D.7

Simplify  $\frac{36p^2-49q^2}{8m^2n}\div\frac{6p+7q}{12n^2}$  

•  $\frac{3n\left(6p-7q\right)}{2m^2}$  

•  $\frac{12\left(6p-7q\right)}{8m^2}$  

•  $\frac{3n^2\left(6p-7q\right)}{2m}$  

•  $\frac{12n^2\left(6p-7q\right)}{8m^2}$  

Tags

CCSS.HSA.APR.D.6

Simplify  $\frac{16m^2-25n^2}{7p^2-14pq}\times\frac{3p-6q}{4m^2-5mn}$  

•  $\frac{3\left(4+5n\right)}{7p^2}$  

•  $\frac{3\left(4m+5n\right)}{7p2}$  

•  $\frac{3\left(4m+5n\right)}{7p}$  

Tags

CCSS.HSA.APR.D.6

The area of a rectangular-shaped football field is  $\left(2x^2+13x+20\right)m^2$  . If the width of the field is  $\left(x+4\right)m$  , find the length,in m, of the field 

•  $\left(2x+5\right)\left(x+4\right)m$  

•  $\left(2x-5\right)\left(x-4\right)m$  

•  $\left(2x+5\right)m$  

•  $\left(2x-5\right)m$  

Tags

CCSS.8.EE.C.7B