2/9 + 1/53 as a fraction

Learn how to find what is 2/9 plus 1/53 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/53 as a fraction and decimal.

Summary: 2/9 plus 1/53 = 115/477
Since both fractions have unequal denominators, 2/9 plus 1/53 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/53 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 53. 477 is the LCM of 9 and 53. Multiplying the LCM 477 with the numerators and denominators of both fractions (2/9 x 477/477) + (1/53 x 477/477), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 106/477 and for 1/53 is 9/477. By simplifying this fraction addition 106/477 + 9/477, it becomes 115/477.

Pie Chart Representation: 2/9 + 1/53 = 115/477

CALCULATION: 2/9 + 1/53 as a fraction
2/9 + 1/53 = (?)
2/9 + 1/53 = [(2 x 53) + (1 x 9)]/(9 x 53)
= (106 + 9)/477
= 115/477
2/9 + 1/53 = 115/477
2/9 plus 1/53 as a fraction is 115/477.

where
2/9 is a proper fraction as an addend,
1/53 is a proper fraction as an addend,
115/477 is the sum of 2/9 and 1/53.

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2/9 plus 1/53 as a decimal
2/9 + 1/53 = 115/477
115/477 = 0.2411
(2/9) + (1/53) as a decimal is 0.2411

where
0.2411 is the sum of 2/9 and 1/53.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/53 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/53 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/53) using LCM Method:
What is 2/9 plus 1/53 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/53

What to be found?
(2/9) + (1/53) = ?
Find what's the sum of 2/9 and 1/53.

step 2 Compare the denominators of fractions 2/9 and 1/53 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/53 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 2/9 and 1/53:
The LCM of 9 and 53 is 477.

step 4 Write the fractions 2/9 and 1/53 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/53
= [(2 x 477)/(9 x 477)] + [(1 x 477)/(53 x 477)]

step 5 Simplify the expression to have common denominator:
= 106/477 + 9/477

step 6 Take the common values out and rewrite the above expression like the below:
= 1/477 x (106/1 + 9/1)
= 1/477 x (106 + 9)

step 7Simplify the above expression further:
= 1/477 x 115
= 115/477
2/9 + 1/53 = 115/477

Hence,
2/9 plus 1/53 as a fraction is 115/477.

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2/9 + 1/53 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/53

What to be found?
(2/9)+(1/53) = ?
Find what's the sum of 2/9 and 1/53.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 53), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 53) and rewrite the equation as like the below:
= (2 x 53) + (1 x 9)/(9 x 53)

step 3 Simplify and rewrite the fraction:
= (106 + 9)/477
2/9 + 1/53 = 115/477

Hence,
2/9 plus 1/53 in fraction is 115/477