Question

1/3 +1/6 in fraction form
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Answer 1

Answer: 1 / 2

Explanation:

Given information

`(1)/(3) ~+~(1)/(6)`

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

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

`=(1~*~2)/(3~*~2) ~+~(1)/(6)`

`=(2)/(6) ~+~(1)/(6)`

Combine two fractions

`=(2~+~1)/(6)`

`=(3)/(6)`

Simplify the fraction by dividing 3 on both numerator and denominator

`=(3~/~3)/(6~/~3)`

`=\Large\boxed{(1)/(2) }`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

`\Large\texttt{Answer}`

`\bf{\cfrac{1}{2}}`

`\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}`

`\Large\texttt{Process}`

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

`\bf{\cfrac{1*2}{3*2}+\cfrac{1}{6}}`

Watch what happens

`\bf{\cfrac{2}{6}+\cfrac{1}{6}}`

Add the numerators

`\bf{\cfrac{2+1}{6}}`

`\bf{\cfrac{3}{6}}`

Simplifying the fractions

`\bf{\cfrac{3/3}{6/3}}`

`\bf{\cfrac{1}{2}}`

Hope that helped