Question

HELP SUPER FAST PLS A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 2 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says area equals 36 and 3 over 4 square inches

Answer 1

Ok, so area/width=length

then they gave you mixed fractions
they want you to practice converting mixed fractions into improper fractions and dividing them

rmember, improper fractions are a/b where a>b sometimes

and also remember that $\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$


okie dokie

width
4 and 1/2=width
4+1/2=width
8/2+1/2=width
9/2=width


area=36 and 3/4
area=36+3/4
area=144/4+3/4
area=147/4

so area/width=length
$\frac{\frac{147}{4}}{\frac{9}{2}}=length$
$\frac{(147)(2)}{(4)(9)}=length$
$\frac{294}{36}=length$
$\frac{49}{6}=length$
$\frac{48}{6}+\frac{1}{6}=length$
$8+\frac{1}{6}=length$

so the length is $8 \space\ and \space\ \frac{1}{6} \space\ in$