Answer:
[tex]\frac{5}{6}[/tex]
[tex]\frac{1}{6} + \frac{2}{3}[/tex] is equivalent to [tex]\frac{1}{6} + \frac{4}{6}[/tex].
This is because [tex]\frac{2}{3}=\frac{4}{6}[/tex]
The rule is, in order to add fractions, your denominators must be equivalent. In other words, you must have the same denominator for both fractions.
Now what do we do? We add!
[tex]\frac{1}{6} + \frac{4}{6} =\frac{5}{6}[/tex]
This is because 4 + 1 = 5.
Your answer is [tex]\frac{5}{6}[/tex].
I hope this helps!
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
First, we need to make our denominators match.
Since 3 is evenly divided by 6, we can multiply just one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
1. [tex]\frac{2 × 2}{3 × 2}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{1}{6} + \frac{4}{6}[/tex]
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Since our denominators match, we can add the numerators.
1 + 4 = 5
Now we have an answer:
[tex]\frac{5}{6}[/tex]
