1/1 + 1/51 as a fraction

Learn how to find what is 1/1 plus 1/51 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 1/51 as a fraction and decimal.

Summary: 1/1 plus 1/51 = 52/51
Since both fractions have unequal denominators, 1/1 plus 1/51 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 51. 51 is the LCM of 1 and 51. Multiplying the LCM 51 with the numerators and denominators of both fractions (1/1 x 51/51) + (1/51 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 51/51 and for 1/51 is 1/51. By simplifying this fraction addition 51/51 + 1/51, it becomes 52/51.

CALCULATION: 1/1 + 1/51 as a fraction
1/1 + 1/51 = (?)
1/1 + 1/51 = [(1 x 51) + (1 x 1)]/(1 x 51)
= (51 + 1)/51
= 52/51
1/1 + 1/51 = 52/51
1/1 plus 1/51 as a fraction is 52/51.

where
1/1 is a proper fraction as an addend,
1/51 is a proper fraction as an addend,
52/51 is the sum of 1/1 and 1/51.

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1/1 plus 1/51 as a decimal
1/1 + 1/51 = 52/51
52/51 = 1.0196
(1/1) + (1/51) as a decimal is 1.0196

where
1.0196 is the sum of 1/1 and 1/51.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 1/51 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 1/51 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/1) + (1/51) using LCM Method:
What is 1/1 plus 1/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/51

What to be found?
(1/1) + (1/51) = ?
Find what's the sum of 1/1 and 1/51.

step 2 Compare the denominators of fractions 1/1 and 1/51 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/1 and 1/51 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 1/51:
The LCM of 1 and 51 is 51.

step 4 Write the fractions 1/1 and 1/51 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 1/51
= [(1 x 51)/(1 x 51)] + [(1 x 51)/(51 x 51)]

step 5 Simplify the expression to have common denominator:
= 51/51 + 1/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (51/1 + 1/1)
= 1/51 x (51 + 1)

step 7Simplify the above expression further:
= 1/51 x 52
= 52/51
1/1 + 1/51 = 52/51

Hence,
1/1 plus 1/51 as a fraction is 52/51.

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1/1 + 1/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/51

What to be found?
(1/1)+(1/51) = ?
Find what's the sum of 1/1 and 1/51.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 51), 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 51) and rewrite the equation as like the below:
= (1 x 51) + (1 x 1)/(1 x 51)

step 3 Simplify and rewrite the fraction:
= (51 + 1)/51
1/1 + 1/51 = 52/51

Hence,
1/1 plus 1/51 in fraction is 52/51