1/9 + 2/91 as a fraction

Learn how to find what is 1/9 plus 2/91 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/91 as a fraction and decimal.

Summary: 1/9 plus 2/91 = 109/819
Since both fractions have unequal denominators, 1/9 plus 2/91 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/91 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 91. 819 is the LCM of 9 and 91. Multiplying the LCM 819 with the numerators and denominators of both fractions (1/9 x 819/819) + (2/91 x 819/819), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 91/819 and for 2/91 is 18/819. By simplifying this fraction addition 91/819 + 18/819, it becomes 109/819.

Pie Chart Representation: 1/9 + 2/91 = 109/819

CALCULATION: 1/9 + 2/91 as a fraction
1/9 + 2/91 = (?)
1/9 + 2/91 = [(1 x 91) + (2 x 9)]/(9 x 91)
= (91 + 18)/819
= 109/819
1/9 + 2/91 = 109/819
1/9 plus 2/91 as a fraction is 109/819.

where
1/9 is a proper fraction as an addend,
2/91 is a proper fraction as an addend,
109/819 is the sum of 1/9 and 2/91.

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1/9 plus 2/91 as a decimal
1/9 + 2/91 = 109/819
109/819 = 0.1331
(1/9) + (2/91) as a decimal is 0.1331

where
0.1331 is the sum of 1/9 and 2/91.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/91 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/91 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/91) using LCM Method:
What is 1/9 plus 2/91 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/91

What to be found?
(1/9) + (2/91) = ?
Find what's the sum of 1/9 and 2/91.

step 2 Compare the denominators of fractions 1/9 and 2/91 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/91 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 1/9 and 2/91:
The LCM of 9 and 91 is 819.

step 4 Write the fractions 1/9 and 2/91 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/91
= [(1 x 819)/(9 x 819)] + [(2 x 819)/(91 x 819)]

step 5 Simplify the expression to have common denominator:
= 91/819 + 18/819

step 6 Take the common values out and rewrite the above expression like the below:
= 1/819 x (91/1 + 18/1)
= 1/819 x (91 + 18)

step 7Simplify the above expression further:
= 1/819 x 109
= 109/819
1/9 + 2/91 = 109/819

Hence,
1/9 plus 2/91 as a fraction is 109/819.

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1/9 + 2/91 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/91

What to be found?
(1/9)+(2/91) = ?
Find what's the sum of 1/9 and 2/91.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 91), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 91) and rewrite the equation as like the below:
= (1 x 91) + (2 x 9)/(9 x 91)

step 3 Simplify and rewrite the fraction:
= (91 + 18)/819
1/9 + 2/91 = 109/819

Hence,
1/9 plus 2/91 in fraction is 109/819