2/3 + 2/6 as a fraction

Learn how to find what is 2/3 plus 2/6 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 2/6 as a fraction and decimal.

Summary: 2/3 plus 2/6 = 1/1
Since both fractions have unequal denominators, 2/3 plus 2/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 2/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (2/3 x 6/6) + (2/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 4/6 and for 2/6 is 2/6. By simplifying this fraction addition 4/6 + 2/6, it becomes 6/6.

CALCULATION: 2/3 + 2/6 as a fraction
2/3 + 2/6 = (?)
2/3 + 2/6 = [(2 x 6) + (2 x 3)]/(3 x 6)
= (12 + 6)/18
= 18/18
= 1
2/3 + 2/6 = 1
2/3 plus 2/6 as a fraction is 1.

where
2/3 is a proper fraction as an addend,
2/6 is a proper fraction as an addend,
1 is the sum of 2/3 and 2/6.

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The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 2/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 2/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/3) + (2/6) using LCM Method:
What is 2/3 plus 2/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 2/6

What to be found?
(2/3) + (2/6) = ?
Find what's the sum of 2/3 and 2/6.

step 2 Compare the denominators of fractions 2/3 and 2/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 2/6 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/3 and 2/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 2/3 and 2/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 2/6
= [(2 x 6)/(3 x 6)] + [(2 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 4/6 + 2/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (4/1 + 2/1)
= 1/6 x (4 + 2)

step 7Simplify the above expression further:
= 1/6 x 6
= 6/6
= 1
2/3 + 2/6 = 1

Hence,
2/3 plus 2/6 as a fraction is 1.

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2/3 + 2/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 2/6

What to be found?
(2/3)+(2/6) = ?
Find what's the sum of 2/3 and 2/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 6), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 6) and rewrite the equation as like the below:
= (2 x 6) + (2 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (12 + 6)/18
= 18/18
= 1
2/3 + 2/6 = 1

Hence,
2/3 plus 2/6 in fraction is 1