What is 2/6 + 1/81 in fraction?
2/6 + 1/81 equals to 28/81 in fraction form.
Learn how to find what is 2/6 plus 1/81 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/81 as a fraction and decimal.
Summary: 2/6 plus 1/81 = 28/81
Since both fractions have unequal denominators, 2/6 plus 1/81 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/81 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 (2/6 x 162/162) + (1/81 x 162/162), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 54/162 and for 1/81 is 2/162. By simplifying this fraction addition 54/162 + 2/162, it becomes 56/162.
Pie Chart Representation: 2/6 + 1/81 = 28/81
The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/81 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/81 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/6) + (1/81) using LCM Method:
What is 2/6 plus 1/81 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/81
What to be found?
(2/6) + (1/81) = ?
Find what's the sum of 2/6 and 1/81.
step 2 Compare the denominators of fractions 2/6 and 1/81 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 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 2/6 and 1/81:
The LCM of 6 and 81 is 162.
step 4 Write the fractions 2/6 and 1/81 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/81
= [(2 x 162)/(6 x 162)] + [(1 x 162)/(81 x 162)]
step 5 Simplify the expression to have common denominator:
= 54/162 + 2/162
step 6 Take the common values out and rewrite the above expression like the below:
= 1/162 x (54/1 + 2/1)
= 1/162 x (54 + 2)
step 7Simplify the above expression further:
= 1/162 x 56
= 56/162
= 28/81
2/6 + 1/81 = 28/81
Hence,
2/6 plus 1/81 as a fraction is 28/81.
2/6 + 1/81 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/81
What to be found?
(2/6)+(1/81) = ?
Find what's the sum of 2/6 and 1/81.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 81), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (2 x 81) + (1 x 6)/(6 x 81)
step 3 Simplify and rewrite the fraction:
= (162 + 6)/486
= 168/486
= 28/81
2/6 + 1/81 = 28/81
Hence,
2/6 plus 1/81 in fraction is 28/81