1/3 + 2/81 as a fraction

Learn how to find what is 1/3 plus 2/81 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/81 as a fraction and decimal.

Summary: 1/3 plus 2/81 = 29/81
Since both fractions have unequal denominators, 1/3 plus 2/81 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/81 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 81. 81 is the LCM of 3 and 81. Multiplying the LCM 81 with the numerators and denominators of both fractions (1/3 x 81/81) + (2/81 x 81/81), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 27/81 and for 2/81 is 2/81. By simplifying this fraction addition 27/81 + 2/81, it becomes 29/81.

Pie Chart Representation: 1/3 + 2/81 = 29/81

CALCULATION: 1/3 + 2/81 as a fraction
1/3 + 2/81 = (?)
1/3 + 2/81 = [(1 x 81) + (2 x 3)]/(3 x 81)
= (81 + 6)/243
= 87/243
= (3 x 29)/(3 x 81)
= 29/81
1/3 + 2/81 = 29/81
1/3 plus 2/81 as a fraction is 29/81.

where
1/3 is a proper fraction as an addend,
2/81 is a proper fraction as an addend,
29/81 is the sum of 1/3 and 2/81.

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1/3 plus 2/81 as a decimal
1/3 + 2/81 = 29/81
29/81 = 0.358
(1/3) + (2/81) as a decimal is 0.358

where
0.358 is the sum of 1/3 and 2/81.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/81 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/81 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/81) using LCM Method:
What is 1/3 plus 2/81 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/81

What to be found?
(1/3) + (2/81) = ?
Find what's the sum of 1/3 and 2/81.

step 2 Compare the denominators of fractions 1/3 and 2/81 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/81 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 1/3 and 2/81:
The LCM of 3 and 81 is 81.

step 4 Write the fractions 1/3 and 2/81 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/81
= [(1 x 81)/(3 x 81)] + [(2 x 81)/(81 x 81)]

step 5 Simplify the expression to have common denominator:
= 27/81 + 2/81

step 6 Take the common values out and rewrite the above expression like the below:
= 1/81 x (27/1 + 2/1)
= 1/81 x (27 + 2)

step 7Simplify the above expression further:
= 1/81 x 29
= 29/81
1/3 + 2/81 = 29/81

Hence,
1/3 plus 2/81 as a fraction is 29/81.

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1/3 + 2/81 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/81

What to be found?
(1/3)+(2/81) = ?
Find what's the sum of 1/3 and 2/81.

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 (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 81) and rewrite the equation as like the below:
= (1 x 81) + (2 x 3)/(3 x 81)

step 3 Simplify and rewrite the fraction:
= (81 + 6)/243
= 87/243
= 29/81
1/3 + 2/81 = 29/81

Hence,
1/3 plus 2/81 in fraction is 29/81