1/6 + 2/81 as a fraction

Learn how to find what is 1/6 plus 2/81 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/81 as a fraction and decimal.

Summary: 1/6 plus 2/81 = 31/162
Since both fractions have unequal denominators, 1/6 plus 2/81 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/81 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 81. 162 is the LCM of 6 and 81. Multiplying the LCM 162 with the numerators and denominators of both fractions (1/6 x 162/162) + (2/81 x 162/162), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 27/162 and for 2/81 is 4/162. By simplifying this fraction addition 27/162 + 4/162, it becomes 31/162.

Pie Chart Representation: 1/6 + 2/81 = 31/162

CALCULATION: 1/6 + 2/81 as a fraction
1/6 + 2/81 = (?)
1/6 + 2/81 = [(1 x 81) + (2 x 6)]/(6 x 81)
= (81 + 12)/486
= 93/486
= (3 x 31)/(3 x 162)
= 31/162
1/6 + 2/81 = 31/162
1/6 plus 2/81 as a fraction is 31/162.

where
1/6 is a proper fraction as an addend,
2/81 is a proper fraction as an addend,
31/162 is the sum of 1/6 and 2/81.

---

1/6 plus 2/81 as a decimal
1/6 + 2/81 = 31/162
31/162 = 0.1914
(1/6) + (2/81) as a decimal is 0.1914

where
0.1914 is the sum of 1/6 and 2/81.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/81 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/81 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (2/81) using LCM Method:
What is 1/6 plus 2/81 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/81

What to be found?
(1/6) + (2/81) = ?
Find what's the sum of 1/6 and 2/81.

step 2 Compare the denominators of fractions 1/6 and 2/81 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 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 1/6 and 2/81:
The LCM of 6 and 81 is 162.

step 4 Write the fractions 1/6 and 2/81 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/81
= [(1 x 162)/(6 x 162)] + [(2 x 162)/(81 x 162)]

step 5 Simplify the expression to have common denominator:
= 27/162 + 4/162

step 6 Take the common values out and rewrite the above expression like the below:
= 1/162 x (27/1 + 4/1)
= 1/162 x (27 + 4)

step 7Simplify the above expression further:
= 1/162 x 31
= 31/162
1/6 + 2/81 = 31/162

Hence,
1/6 plus 2/81 as a fraction is 31/162.

---

1/6 + 2/81 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/81

What to be found?
(1/6)+(2/81) = ?
Find what's the sum of 1/6 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 6), and find the product of both denominators of Fraction A and Fraction B (6 x 81) and rewrite the equation as like the below:
= (1 x 81) + (2 x 6)/(6 x 81)

step 3 Simplify and rewrite the fraction:
= (81 + 12)/486
= 93/486
= 31/162
1/6 + 2/81 = 31/162

Hence,
1/6 plus 2/81 in fraction is 31/162