1/5 + 2/55 as a fraction

Learn how to find what is 1/5 plus 2/55 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/55 as a fraction and decimal.

Summary: 1/5 plus 2/55 = 13/55
Since both fractions have unequal denominators, 1/5 plus 2/55 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/55 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 55. 55 is the LCM of 5 and 55. Multiplying the LCM 55 with the numerators and denominators of both fractions (1/5 x 55/55) + (2/55 x 55/55), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 11/55 and for 2/55 is 2/55. By simplifying this fraction addition 11/55 + 2/55, it becomes 13/55.

Pie Chart Representation: 1/5 + 2/55 = 13/55

CALCULATION: 1/5 + 2/55 as a fraction
1/5 + 2/55 = (?)
1/5 + 2/55 = [(1 x 55) + (2 x 5)]/(5 x 55)
= (55 + 10)/275
= 65/275
= (5 x 13)/(5 x 55)
= 13/55
1/5 + 2/55 = 13/55
1/5 plus 2/55 as a fraction is 13/55.

where
1/5 is a proper fraction as an addend,
2/55 is a proper fraction as an addend,
13/55 is the sum of 1/5 and 2/55.

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1/5 plus 2/55 as a decimal
1/5 + 2/55 = 13/55
13/55 = 0.2364
(1/5) + (2/55) as a decimal is 0.2364

where
0.2364 is the sum of 1/5 and 2/55.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/55 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/55 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/55) using LCM Method:
What is 1/5 plus 2/55 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/55

What to be found?
(1/5) + (2/55) = ?
Find what's the sum of 1/5 and 2/55.

step 2 Compare the denominators of fractions 1/5 and 2/55 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/55 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 1/5 and 2/55:
The LCM of 5 and 55 is 55.

step 4 Write the fractions 1/5 and 2/55 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/55
= [(1 x 55)/(5 x 55)] + [(2 x 55)/(55 x 55)]

step 5 Simplify the expression to have common denominator:
= 11/55 + 2/55

step 6 Take the common values out and rewrite the above expression like the below:
= 1/55 x (11/1 + 2/1)
= 1/55 x (11 + 2)

step 7Simplify the above expression further:
= 1/55 x 13
= 13/55
1/5 + 2/55 = 13/55

Hence,
1/5 plus 2/55 as a fraction is 13/55.

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1/5 + 2/55 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/55

What to be found?
(1/5)+(2/55) = ?
Find what's the sum of 1/5 and 2/55.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 55), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 55) and rewrite the equation as like the below:
= (1 x 55) + (2 x 5)/(5 x 55)

step 3 Simplify and rewrite the fraction:
= (55 + 10)/275
= 65/275
= 13/55
1/5 + 2/55 = 13/55

Hence,
1/5 plus 2/55 in fraction is 13/55