1/2 + 1/81 as a fraction

Learn how to find what is 1/2 plus 1/81 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/81 as a fraction and decimal.

Summary: 1/2 plus 1/81 = 83/162
Since both fractions have unequal denominators, 1/2 plus 1/81 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/81 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 81. 162 is the LCM of 2 and 81. Multiplying the LCM 162 with the numerators and denominators of both fractions (1/2 x 162/162) + (1/81 x 162/162), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 81/162 and for 1/81 is 2/162. By simplifying this fraction addition 81/162 + 2/162, it becomes 83/162.

Pie Chart Representation: 1/2 + 1/81 = 83/162

CALCULATION: 1/2 + 1/81 as a fraction
1/2 + 1/81 = (?)
1/2 + 1/81 = [(1 x 81) + (1 x 2)]/(2 x 81)
= (81 + 2)/162
= 83/162
1/2 + 1/81 = 83/162
1/2 plus 1/81 as a fraction is 83/162.

where
1/2 is a proper fraction as an addend,
1/81 is a proper fraction as an addend,
83/162 is the sum of 1/2 and 1/81.

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1/2 plus 1/81 as a decimal
1/2 + 1/81 = 83/162
83/162 = 0.5123
(1/2) + (1/81) as a decimal is 0.5123

where
0.5123 is the sum of 1/2 and 1/81.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/81 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/81 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/81) using LCM Method:
What is 1/2 plus 1/81 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/81

What to be found?
(1/2) + (1/81) = ?
Find what's the sum of 1/2 and 1/81.

step 2 Compare the denominators of fractions 1/2 and 1/81 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/81 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 1/2 and 1/81:
The LCM of 2 and 81 is 162.

step 4 Write the fractions 1/2 and 1/81 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/81
= [(1 x 162)/(2 x 162)] + [(1 x 162)/(81 x 162)]

step 5 Simplify the expression to have common denominator:
= 81/162 + 2/162

step 6 Take the common values out and rewrite the above expression like the below:
= 1/162 x (81/1 + 2/1)
= 1/162 x (81 + 2)

step 7Simplify the above expression further:
= 1/162 x 83
= 83/162
1/2 + 1/81 = 83/162

Hence,
1/2 plus 1/81 as a fraction is 83/162.

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1/2 + 1/81 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/81

What to be found?
(1/2)+(1/81) = ?
Find what's the sum of 1/2 and 1/81.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 81), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 81) and rewrite the equation as like the below:
= (1 x 81) + (1 x 2)/(2 x 81)

step 3 Simplify and rewrite the fraction:
= (81 + 2)/162
1/2 + 1/81 = 83/162

Hence,
1/2 plus 1/81 in fraction is 83/162