PROBLEM
Nhel is helping Edward clean the backyard. They spend 2 hours doing this every Saturday morning. What part of the day do they spend cleaning the backyard? Express your answer in the lowest term.
A. 2/24 days
B. 1/12 days
C. 2/12 days
D. 1/6 days
ANSWER
[tex]{ \large {\boxed{ \blue{ \sf \: B. \: \frac{1}{12} }}}}[/tex]
Here is how I got my answer:
Base on the given facts in the problem, Nhel, and Edward took 2 hours cleaning the backyard every Saturday. Out of that 2 hours, there are 24 hours in total in a day.
This makes us construct the fraction:
[tex] \sf \large \frac{ \sf \: number \: of \: hours \: they \: spent \: cleaning}{number \: of \: hours \: in \: a \: day} = \: \sf \large \blue{ \frac{2}{24} }[/tex]
The fraction 2/24 is not yet formed in the lowest term. We'll have to divide the numerator and denominator in the number both of them is divisible.
Both of the numbers are divisible by 2.
[tex] \sf \large\frac{2}{24} \div \frac{2}{2} = \: {\bold{ \blue {\frac{1}{12} }}}[/tex]
The fraction 1/12 can't be simplified further.
[tex]{ \implies {\large{ \boxed {\blue{{ \frac{1}{12}}}}}}}[/tex]
Hope it helps!!
