Question

Angelina washes 13 1/2 windows in 2/3 hour.
At this rate, how many windows can she wash in 1 hour?

Answer 1

\(\begin{array}{ccllll}
windows&hours
\\\hline\\
13\frac{1}{2}&\cfrac{2}{3}\\
x&1
\end{array}\implies \cfrac{13\frac{1}{2}}{x}=\cfrac{\frac{2}{3}}{1}\)

solve for "x"

Answer 2

Ok!

Answer 3

so.. convert the 13 1/2 to "improper" fraction, that is, just not a mixed one
and find "x" :)

Answer 4

recall that \(\Large \cfrac{\frac{a}{b}}{\frac{c}{{\color{blue}{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{\color{blue}{ d}}}{c}\)

Answer 5

I got 9 windows!

Answer 6

hmm what did you get for 13 1/2 as an improper fraction anyway?

Answer 7

i got 27/2

Answer 8

well.. .yes... can't be 9 though
notice she does 13 and half windows is just 2/3 of one hour
how can in 1 hour does 9?

kinda like the longer the she works, the less she does =)
one sec, lemme post something

Answer 9

ok

Answer 10

\(\begin{array}{ccllll}
windows&hours
\\\hline\\
13\frac{1}{2}&\cfrac{2}{3}\\
x&1
\end{array}\implies \cfrac{13\frac{1}{2}}{x}=\cfrac{\frac{2}{3}}{1}\implies \cfrac{\frac{27}{2}}{\frac{2}{3}}=x
\\ \quad \\
\cfrac{27}{2}\cdot \cfrac{3}{2}=x\implies \cfrac{27\cdot 3}{2\cdot 2}=x\implies \cfrac{81}{4}=x
\\ \quad \\
20\frac{1}{4}=x\)

Answer 11

but doesnt it have to be less?

Answer 12

oh, wait i understand now!!!!