1/1 + 1/5 as a fraction

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

Summary: 1/1 plus 1/5 = 6/5
Since both fractions have unequal denominators, 1/1 plus 1/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 5. 5 is the LCM of 1 and 5. Multiplying the LCM 5 with the numerators and denominators of both fractions (1/1 x 5/5) + (1/5 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 5/5 and for 1/5 is 1/5. By simplifying this fraction addition 5/5 + 1/5, it becomes 6/5.

CALCULATION: 1/1 + 1/5 as a fraction
1/1 + 1/5 = (?)
1/1 + 1/5 = [(1 x 5) + (1 x 1)]/(1 x 5)
= (5 + 1)/5
= 6/5
1/1 + 1/5 = 6/5
1/1 plus 1/5 as a fraction is 6/5.

where
1/1 is a proper fraction as an addend,
1/5 is a proper fraction as an addend,
6/5 is the sum of 1/1 and 1/5.

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1/1 plus 1/5 as a decimal
1/1 + 1/5 = 6/5
6/5 = 1.2
(1/1) + (1/5) as a decimal is 1.2

where
1.2 is the sum of 1/1 and 1/5.

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

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

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

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

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

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

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

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (5/1 + 1/1)
= 1/5 x (5 + 1)

step 7Simplify the above expression further:
= 1/5 x 6
= 6/5
1/1 + 1/5 = 6/5

Hence,
1/1 plus 1/5 as a fraction is 6/5.

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

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

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

step 3 Simplify and rewrite the fraction:
= (5 + 1)/5
1/1 + 1/5 = 6/5

Hence,
1/1 plus 1/5 in fraction is 6/5