1/2 + 2/6 as a fraction

Learn how to find what is 1/2 plus 2/6 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 2/6 as a fraction and decimal.

Summary: 1/2 plus 2/6 = 5/6
Since both fractions have unequal denominators, 1/2 plus 2/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 2/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 6. 6 is the LCM of 2 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (1/2 x 6/6) + (2/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 3/6 and for 2/6 is 2/6. By simplifying this fraction addition 3/6 + 2/6, it becomes 5/6.

Pie Chart Representation: 1/2 + 2/6 = 5/6

CALCULATION: 1/2 + 2/6 as a fraction
1/2 + 2/6 = (?)
1/2 + 2/6 = [(1 x 6) + (2 x 2)]/(2 x 6)
= (6 + 4)/12
= 10/12
= (2 x 5)/(2 x 6)
= 5/6
1/2 + 2/6 = 5/6
1/2 plus 2/6 as a fraction is 5/6.

where
1/2 is a proper fraction as an addend,
2/6 is a proper fraction as an addend,
5/6 is the sum of 1/2 and 2/6.

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1/2 plus 2/6 as a decimal
1/2 + 2/6 = 5/6
5/6 = 0.8333
(1/2) + (2/6) as a decimal is 0.8333

where
0.8333 is the sum of 1/2 and 2/6.

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

(1/2) + (2/6) using LCM Method:
What is 1/2 plus 2/6 as a fraction?

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

What to be found?
(1/2) + (2/6) = ?
Find what's the sum of 1/2 and 2/6.

step 2 Compare the denominators of fractions 1/2 and 2/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 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 1/2 and 2/6:
The LCM of 2 and 6 is 6.

step 4 Write the fractions 1/2 and 2/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 2/6
= [(1 x 6)/(2 x 6)] + [(2 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 3/6 + 2/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (3/1 + 2/1)
= 1/6 x (3 + 2)

step 7Simplify the above expression further:
= 1/6 x 5
= 5/6
1/2 + 2/6 = 5/6

Hence,
1/2 plus 2/6 as a fraction is 5/6.

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

What to be found?
(1/2)+(2/6) = ?
Find what's the sum of 1/2 and 2/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 6), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 6) and rewrite the equation as like the below:
= (1 x 6) + (2 x 2)/(2 x 6)

step 3 Simplify and rewrite the fraction:
= (6 + 4)/12
= 10/12
= 5/6
1/2 + 2/6 = 5/6

Hence,
1/2 plus 2/6 in fraction is 5/6