Question

Paige mows 1/6 acres in 1/4 hour. How many acres can she now per hour?

Answer 1

She can mow 1/6 acres in 15 minutes. How many acres can she mow in 60?
15*4=60

(1/6)*(4/1)= (4/6)

Simplify: 4/6= 2/3

Final answer: 2/3 acres

Answer 2

`\bf \begin{array}{ccllll} acres&hour\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (1)/(6)&(1)/(4)\\\\ a&1 \end{array}\implies \cfrac{(1)/(6)}{a}=\cfrac{(1)/(4)}{1}\implies \cfrac{(1)/(6)}{(a)/(1)}=\cfrac{(1)/(4)}{(1)/(1)}\implies \cfrac{1}{6}\cdot \cfrac{1}{a}=\cfrac{1}{4}\cdot \cfrac{1}{1} \\\\\\ \cfrac{1}{6a}=\cfrac{1}{4}\implies 4=6a\implies \cfrac{4}{6}=a\implies \cfrac{2}{3}=a`