1/7 + 2/22 as a fraction

Learn how to find what is 1/7 plus 2/22 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/22 as a fraction and decimal.

Summary: 1/7 plus 2/22 = 18/77
Since both fractions have unequal denominators, 1/7 plus 2/22 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/22 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 22. 154 is the LCM of 7 and 22. Multiplying the LCM 154 with the numerators and denominators of both fractions (1/7 x 154/154) + (2/22 x 154/154), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 22/154 and for 2/22 is 14/154. By simplifying this fraction addition 22/154 + 14/154, it becomes 36/154.

Pie Chart Representation: 1/7 + 2/22 = 18/77

CALCULATION: 1/7 + 2/22 as a fraction
1/7 + 2/22 = (?)
1/7 + 2/22 = [(1 x 22) + (2 x 7)]/(7 x 22)
= (22 + 14)/154
= 36/154
= (2 x 18)/(2 x 77)
= 18/77
1/7 + 2/22 = 18/77
1/7 plus 2/22 as a fraction is 18/77.

where
1/7 is a proper fraction as an addend,
2/22 is a proper fraction as an addend,
18/77 is the sum of 1/7 and 2/22.

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1/7 plus 2/22 as a decimal
1/7 + 2/22 = 18/77
18/77 = 0.2338
(1/7) + (2/22) as a decimal is 0.2338

where
0.2338 is the sum of 1/7 and 2/22.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/22 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/22 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/22) using LCM Method:
What is 1/7 plus 2/22 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/22

What to be found?
(1/7) + (2/22) = ?
Find what's the sum of 1/7 and 2/22.

step 2 Compare the denominators of fractions 1/7 and 2/22 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 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 1/7 and 2/22:
The LCM of 7 and 22 is 154.

step 4 Write the fractions 1/7 and 2/22 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/22
= [(1 x 154)/(7 x 154)] + [(2 x 154)/(22 x 154)]

step 5 Simplify the expression to have common denominator:
= 22/154 + 14/154

step 6 Take the common values out and rewrite the above expression like the below:
= 1/154 x (22/1 + 14/1)
= 1/154 x (22 + 14)

step 7Simplify the above expression further:
= 1/154 x 36
= 36/154
= 18/77
1/7 + 2/22 = 18/77

Hence,
1/7 plus 2/22 as a fraction is 18/77.

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1/7 + 2/22 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/22

What to be found?
(1/7)+(2/22) = ?
Find what's the sum of 1/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 22) and rewrite the equation as like the below:
= (1 x 22) + (2 x 7)/(7 x 22)

step 3 Simplify and rewrite the fraction:
= (22 + 14)/154
= 36/154
= 18/77
1/7 + 2/22 = 18/77

Hence,
1/7 plus 2/22 in fraction is 18/77