Question

1/3 +1/6 in fraction form​

Answer 1

Answer: 1 / 2

Step-by-step explanation:

Given information

$\frac{1}{3} ~+~\frac{1}{6}$

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

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

$=\frac{1~*~2}{3~*~2} ~+~\frac{1}{6}$

$=\frac{2}{6} ~+~\frac{1}{6}$

Combine two fractions

$=\frac{2~+~1}{6}$

$=\frac{3}{6}$

Simplify the fraction by dividing 3 on both numerator and denominator

$=\frac{3~/~3}{6~/~3}$

$=\Large\boxed{\frac{1}{2} }$

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

$\bf{\cfrac{1\times2}{3\times2}+\cfrac{1}{6}}$

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

$\bf{\cfrac{3\div3}{6\div3}}$

$\bf{\cfrac{1}{2}}$

Hope that helped