1/1 + 1/66 as a fraction

Learn how to find what is 1/1 plus 1/66 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 1/66 as a fraction and decimal.

Summary: 1/1 plus 1/66 = 67/66
Since both fractions have unequal denominators, 1/1 plus 1/66 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/66 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 66. 66 is the LCM of 1 and 66. Multiplying the LCM 66 with the numerators and denominators of both fractions (1/1 x 66/66) + (1/66 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 66/66 and for 1/66 is 1/66. By simplifying this fraction addition 66/66 + 1/66, it becomes 67/66.

CALCULATION: 1/1 + 1/66 as a fraction
1/1 + 1/66 = (?)
1/1 + 1/66 = [(1 x 66) + (1 x 1)]/(1 x 66)
= (66 + 1)/66
= 67/66
1/1 + 1/66 = 67/66
1/1 plus 1/66 as a fraction is 67/66.

where
1/1 is a proper fraction as an addend,
1/66 is a proper fraction as an addend,
67/66 is the sum of 1/1 and 1/66.

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1/1 plus 1/66 as a decimal
1/1 + 1/66 = 67/66
67/66 = 1.0152
(1/1) + (1/66) as a decimal is 1.0152

where
1.0152 is the sum of 1/1 and 1/66.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 1/66 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 1/66 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/1) + (1/66) using LCM Method:
What is 1/1 plus 1/66 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/66

What to be found?
(1/1) + (1/66) = ?
Find what's the sum of 1/1 and 1/66.

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

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

step 5 Simplify the expression to have common denominator:
= 66/66 + 1/66

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

step 7Simplify the above expression further:
= 1/66 x 67
= 67/66
1/1 + 1/66 = 67/66

Hence,
1/1 plus 1/66 as a fraction is 67/66.

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1/1 + 1/66 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/66

What to be found?
(1/1)+(1/66) = ?
Find what's the sum of 1/1 and 1/66.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 66), 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 66) and rewrite the equation as like the below:
= (1 x 66) + (1 x 1)/(1 x 66)

step 3 Simplify and rewrite the fraction:
= (66 + 1)/66
1/1 + 1/66 = 67/66

Hence,
1/1 plus 1/66 in fraction is 67/66