Answer: [tex]\Large\boxed{\frac{23}{12} }[/tex]
Step-by-step explanation:
Given expression
[tex]\dfrac{1}{4} +\dfrac{5}{3}[/tex]
Convert to the common denominator
Least Common Multiple (LCM) of 4 and 3 = 12
[tex]=\dfrac{1\times3}{4\times3} +\dfrac{5\times4}{3\times4}[/tex]
[tex]=\dfrac{3}{12} +\dfrac{20}{12}[/tex]
Combine the fractions
[tex]=\dfrac{3+20}{12}[/tex]
[tex]=\Large\boxed{\frac{23}{12} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
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:
What was 4 multiplied by to yield 12? 3, so 3 is what the entire fraction gets multiplied by:
[tex]\sf{\dfrac{1\times3}{4\times3}=\dfrac{3}{12}}[/tex]
What was 3 multiplied by to yield 12? 4, so 4 is what the entire fraction is multiplied by:
[tex]\sf{\dfrac{5\times4}{3\times4}=\dfrac{20}{12}}[/tex]
Now we can write these two guys together.
[tex]\sf{\dfrac{3}{12}+\dfrac{20}{12}}[/tex]
Next, we can add their numerators, since the denominators match.
[tex]\sf{\dfrac{20+3}{12}=\boxed{\bf{\dfrac{23}{12}}}[/tex]
Hope the answer - and explanation - made sense,
happy studying.
