1/6 + 2/83 as a fraction

Learn how to find what is 1/6 plus 2/83 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/83 as a fraction and decimal.

Summary: 1/6 plus 2/83 = 95/498
Since both fractions have unequal denominators, 1/6 plus 2/83 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/83 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 83. 498 is the LCM of 6 and 83. Multiplying the LCM 498 with the numerators and denominators of both fractions (1/6 x 498/498) + (2/83 x 498/498), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 83/498 and for 2/83 is 12/498. By simplifying this fraction addition 83/498 + 12/498, it becomes 95/498.

Pie Chart Representation: 1/6 + 2/83 = 95/498

CALCULATION: 1/6 + 2/83 as a fraction
1/6 + 2/83 = (?)
1/6 + 2/83 = [(1 x 83) + (2 x 6)]/(6 x 83)
= (83 + 12)/498
= 95/498
1/6 + 2/83 = 95/498
1/6 plus 2/83 as a fraction is 95/498.

where
1/6 is a proper fraction as an addend,
2/83 is a proper fraction as an addend,
95/498 is the sum of 1/6 and 2/83.

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1/6 plus 2/83 as a decimal
1/6 + 2/83 = 95/498
95/498 = 0.1908
(1/6) + (2/83) as a decimal is 0.1908

where
0.1908 is the sum of 1/6 and 2/83.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/83 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/83 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (2/83) using LCM Method:
What is 1/6 plus 2/83 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/83

What to be found?
(1/6) + (2/83) = ?
Find what's the sum of 1/6 and 2/83.

step 2 Compare the denominators of fractions 1/6 and 2/83 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/83 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 2/83:
The LCM of 6 and 83 is 498.

step 4 Write the fractions 1/6 and 2/83 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/83
= [(1 x 498)/(6 x 498)] + [(2 x 498)/(83 x 498)]

step 5 Simplify the expression to have common denominator:
= 83/498 + 12/498

step 6 Take the common values out and rewrite the above expression like the below:
= 1/498 x (83/1 + 12/1)
= 1/498 x (83 + 12)

step 7Simplify the above expression further:
= 1/498 x 95
= 95/498
1/6 + 2/83 = 95/498

Hence,
1/6 plus 2/83 as a fraction is 95/498.

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1/6 + 2/83 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/83

What to be found?
(1/6)+(2/83) = ?
Find what's the sum of 1/6 and 2/83.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 83), 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 83) and rewrite the equation as like the below:
= (1 x 83) + (2 x 6)/(6 x 83)

step 3 Simplify and rewrite the fraction:
= (83 + 12)/498
1/6 + 2/83 = 95/498

Hence,
1/6 plus 2/83 in fraction is 95/498