2/3 + 1/22 as a fraction

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

Summary: 2/3 plus 1/22 = 47/66
Since both fractions have unequal denominators, 2/3 plus 1/22 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/22 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 (2/3 x 66/66) + (1/22 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 44/66 and for 1/22 is 3/66. By simplifying this fraction addition 44/66 + 3/66, it becomes 47/66.

Pie Chart Representation: 2/3 + 1/22 = 47/66

CALCULATION: 2/3 + 1/22 as a fraction
2/3 + 1/22 = (?)
2/3 + 1/22 = [(2 x 22) + (1 x 3)]/(3 x 22)
= (44 + 3)/66
= 47/66
2/3 + 1/22 = 47/66
2/3 plus 1/22 as a fraction is 47/66.

where
2/3 is a proper fraction as an addend,
1/22 is a proper fraction as an addend,
47/66 is the sum of 2/3 and 1/22.

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2/3 plus 1/22 as a decimal
2/3 + 1/22 = 47/66
47/66 = 0.7121
(2/3) + (1/22) as a decimal is 0.7121

where
0.7121 is the sum of 2/3 and 1/22.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 44/66 + 3/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (44/1 + 3/1)
= 1/66 x (44 + 3)

step 7Simplify the above expression further:
= 1/66 x 47
= 47/66
2/3 + 1/22 = 47/66

Hence,
2/3 plus 1/22 as a fraction is 47/66.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 22), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (2 x 22) + (1 x 3)/(3 x 22)

step 3 Simplify and rewrite the fraction:
= (44 + 3)/66
2/3 + 1/22 = 47/66

Hence,
2/3 plus 1/22 in fraction is 47/66