1/2 + 1/22 as a fraction

Learn how to find what is 1/2 plus 1/22 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/22 as a fraction and decimal.

Summary: 1/2 plus 1/22 = 6/11
Since both fractions have unequal denominators, 1/2 plus 1/22 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/22 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 22. 22 is the LCM of 2 and 22. Multiplying the LCM 22 with the numerators and denominators of both fractions (1/2 x 22/22) + (1/22 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 11/22 and for 1/22 is 1/22. By simplifying this fraction addition 11/22 + 1/22, it becomes 12/22.

Pie Chart Representation: 1/2 + 1/22 = 6/11

CALCULATION: 1/2 + 1/22 as a fraction
1/2 + 1/22 = (?)
1/2 + 1/22 = [(1 x 22) + (1 x 2)]/(2 x 22)
= (22 + 2)/44
= 24/44
= (4 x 6)/(4 x 11)
= 6/11
1/2 + 1/22 = 6/11
1/2 plus 1/22 as a fraction is 6/11.

where
1/2 is a proper fraction as an addend,
1/22 is a proper fraction as an addend,
6/11 is the sum of 1/2 and 1/22.

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1/2 plus 1/22 as a decimal
1/2 + 1/22 = 6/11
6/11 = 0.5455
(1/2) + (1/22) as a decimal is 0.5455

where
0.5455 is the sum of 1/2 and 1/22.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/22 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/22 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/22) using LCM Method:
What is 1/2 plus 1/22 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/22

What to be found?
(1/2) + (1/22) = ?
Find what's the sum of 1/2 and 1/22.

step 2 Compare the denominators of fractions 1/2 and 1/22 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/22 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 1/22:
The LCM of 2 and 22 is 22.

step 4 Write the fractions 1/2 and 1/22 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/22
= [(1 x 22)/(2 x 22)] + [(1 x 22)/(22 x 22)]

step 5 Simplify the expression to have common denominator:
= 11/22 + 1/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (11/1 + 1/1)
= 1/22 x (11 + 1)

step 7Simplify the above expression further:
= 1/22 x 12
= 12/22
= 6/11
1/2 + 1/22 = 6/11

Hence,
1/2 plus 1/22 as a fraction is 6/11.

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1/2 + 1/22 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/22

What to be found?
(1/2)+(1/22) = ?
Find what's the sum of 1/2 and 1/22.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 22), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 22) and rewrite the equation as like the below:
= (1 x 22) + (1 x 2)/(2 x 22)

step 3 Simplify and rewrite the fraction:
= (22 + 2)/44
= 24/44
= 6/11
1/2 + 1/22 = 6/11

Hence,
1/2 plus 1/22 in fraction is 6/11