Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

1/3 +1/6 in fraction form


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

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

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.