1/6 + 2/97 as a fraction

Learn how to find what is 1/6 plus 2/97 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/97 as a fraction and decimal.

Summary: 1/6 plus 2/97 = 109/582
Since both fractions have unequal denominators, 1/6 plus 2/97 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/97 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 97. 582 is the LCM of 6 and 97. Multiplying the LCM 582 with the numerators and denominators of both fractions (1/6 x 582/582) + (2/97 x 582/582), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 97/582 and for 2/97 is 12/582. By simplifying this fraction addition 97/582 + 12/582, it becomes 109/582.

Pie Chart Representation: 1/6 + 2/97 = 109/582

CALCULATION: 1/6 + 2/97 as a fraction
1/6 + 2/97 = (?)
1/6 + 2/97 = [(1 x 97) + (2 x 6)]/(6 x 97)
= (97 + 12)/582
= 109/582
1/6 + 2/97 = 109/582
1/6 plus 2/97 as a fraction is 109/582.

where
1/6 is a proper fraction as an addend,
2/97 is a proper fraction as an addend,
109/582 is the sum of 1/6 and 2/97.

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1/6 plus 2/97 as a decimal
1/6 + 2/97 = 109/582
109/582 = 0.1873
(1/6) + (2/97) as a decimal is 0.1873

where
0.1873 is the sum of 1/6 and 2/97.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/97 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/97 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (2/97) using LCM Method:
What is 1/6 plus 2/97 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/97

What to be found?
(1/6) + (2/97) = ?
Find what's the sum of 1/6 and 2/97.

step 2 Compare the denominators of fractions 1/6 and 2/97 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/97 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 1/6 and 2/97:
The LCM of 6 and 97 is 582.

step 4 Write the fractions 1/6 and 2/97 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/97
= [(1 x 582)/(6 x 582)] + [(2 x 582)/(97 x 582)]

step 5 Simplify the expression to have common denominator:
= 97/582 + 12/582

step 6 Take the common values out and rewrite the above expression like the below:
= 1/582 x (97/1 + 12/1)
= 1/582 x (97 + 12)

step 7Simplify the above expression further:
= 1/582 x 109
= 109/582
1/6 + 2/97 = 109/582

Hence,
1/6 plus 2/97 as a fraction is 109/582.

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1/6 + 2/97 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/97

What to be found?
(1/6)+(2/97) = ?
Find what's the sum of 1/6 and 2/97.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 97), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 97) and rewrite the equation as like the below:
= (1 x 97) + (2 x 6)/(6 x 97)

step 3 Simplify and rewrite the fraction:
= (97 + 12)/582
1/6 + 2/97 = 109/582

Hence,
1/6 plus 2/97 in fraction is 109/582