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1/4+5/3 pls healppp

2 Answers

6 votes

Hi, there.

______

In this problem we need to add two fractions together. The first (and main) thing that we should see is: These two fractions have two different denominators! This means we cannot add their numerators together, we need to find the lcm of 4 and 3:

12

What was 4 multiplied by to yield 12? 3, so 3 is what the entire fraction gets multiplied by:


\sf{(1*3)/(4*3)=(3)/(12)}

What was 3 multiplied by to yield 12? 4, so 4 is what the entire fraction is multiplied by:


\sf{(5*4)/(3*4)=(20)/(12)}

Now we can write these two guys together.


\sf{(3)/(12)+(20)/(12)}

Next, we can add their numerators, since the denominators match.


\sf{(20+3)/(12)=\boxed{\bf{(23)/(12)}}

Hope the answer - and explanation - made sense,

happy studying.

User Wei An
by
7.1k points
3 votes

Answer:
\Large\boxed{(23)/(12) }

Explanation:

Given expression


(1)/(4) +(5)/(3)

Convert to the common denominator

Least Common Multiple (LCM) of 4 and 3 = 12


=(1*3)/(4*3) +(5*4)/(3*4)


=(3)/(12) +(20)/(12)

Combine the fractions


=(3+20)/(12)


=\Large\boxed{(23)/(12) }

Hope this helps!! :)

Please let me know if you have any questions

User Chris Jeon
by
6.6k points
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