1/3 + 2/22 as a fraction

Learn how to find what is 1/3 plus 2/22 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/22 as a fraction and decimal.

Summary: 1/3 plus 2/22 = 14/33
Since both fractions have unequal denominators, 1/3 plus 2/22 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/22 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 22. 66 is the LCM of 3 and 22. Multiplying the LCM 66 with the numerators and denominators of both fractions (1/3 x 66/66) + (2/22 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 22/66 and for 2/22 is 6/66. By simplifying this fraction addition 22/66 + 6/66, it becomes 28/66.

Pie Chart Representation: 1/3 + 2/22 = 14/33

CALCULATION: 1/3 + 2/22 as a fraction
1/3 + 2/22 = (?)
1/3 + 2/22 = [(1 x 22) + (2 x 3)]/(3 x 22)
= (22 + 6)/66
= 28/66
= (2 x 14)/(2 x 33)
= 14/33
1/3 + 2/22 = 14/33
1/3 plus 2/22 as a fraction is 14/33.

where
1/3 is a proper fraction as an addend,
2/22 is a proper fraction as an addend,
14/33 is the sum of 1/3 and 2/22.

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1/3 plus 2/22 as a decimal
1/3 + 2/22 = 14/33
14/33 = 0.4242
(1/3) + (2/22) as a decimal is 0.4242

where
0.4242 is the sum of 1/3 and 2/22.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/22 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/22 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/22) using LCM Method:
What is 1/3 plus 2/22 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/22

What to be found?
(1/3) + (2/22) = ?
Find what's the sum of 1/3 and 2/22.

step 2 Compare the denominators of fractions 1/3 and 2/22 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/22 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 1/3 and 2/22:
The LCM of 3 and 22 is 66.

step 4 Write the fractions 1/3 and 2/22 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/22
= [(1 x 66)/(3 x 66)] + [(2 x 66)/(22 x 66)]

step 5 Simplify the expression to have common denominator:
= 22/66 + 6/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (22/1 + 6/1)
= 1/66 x (22 + 6)

step 7Simplify the above expression further:
= 1/66 x 28
= 28/66
= 14/33
1/3 + 2/22 = 14/33

Hence,
1/3 plus 2/22 as a fraction is 14/33.

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1/3 + 2/22 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/22

What to be found?
(1/3)+(2/22) = ?
Find what's the sum of 1/3 and 2/22.

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 (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 22) and rewrite the equation as like the below:
= (1 x 22) + (2 x 3)/(3 x 22)

step 3 Simplify and rewrite the fraction:
= (22 + 6)/66
= 28/66
= 14/33
1/3 + 2/22 = 14/33

Hence,
1/3 plus 2/22 in fraction is 14/33