tkul29781
Answered

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1/3 +1/6 in fraction form
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Sagot :

[tex]\Large\texttt{Answer}[/tex]

[tex]\bf{\cfrac{1}{2}}[/tex]

[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]

[tex]\Large\texttt{Process}[/tex]

Do you remember that we cannot add fractions when they have unlike denominators? We can onyl add fractions as long as they have the same denominator!

So here's the big idea: fractions must have the same denominator.

If we multiply the first fraction by 2, then both fractions will have the same denominator. *

* Why 2??

-  Because:

We need to find the least common multiple of 3 and 6, which is 6. Next, what should 3 be multiplied by to result in 6? That's right, 2.

Also, we can only multiply the denominator by 2 as long as we multiply the numerator by 2!

So that's why we multiply the whole fraction by 2

[tex]\bf{\cfrac{1\times2}{3\times2}+\cfrac{1}{6}}[/tex]

Watch what happens

[tex]\bf{\cfrac{2}{6}+\cfrac{1}{6}}[/tex]

Add the numerators

[tex]\bf{\cfrac{2+1}{6}}[/tex]

[tex]\bf{\cfrac{3}{6}}[/tex]

Simplifying the fractions

[tex]\bf{\cfrac{3\div3}{6\div3}}[/tex]

[tex]\bf{\cfrac{1}{2}}[/tex]

Hope that helped

eunice1234

Answer: 1 / 2

Step-by-step explanation:

Given information

[tex]\frac{1}{3} ~+~\frac{1}{6}[/tex]

Convert the denominator (3, 6) into the same common denominator

Least Common Multiple (LCM) of 3 and 6 = 6

[tex]=\frac{1~*~2}{3~*~2} ~+~\frac{1}{6}[/tex]

[tex]=\frac{2}{6} ~+~\frac{1}{6}[/tex]

Combine two fractions

[tex]=\frac{2~+~1}{6}[/tex]

[tex]=\frac{3}{6}[/tex]

Simplify the fraction by dividing 3 on both numerator and denominator

[tex]=\frac{3~/~3}{6~/~3}[/tex]

[tex]=\Large\boxed{\frac{1}{2} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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