1/9 + 2/58 as a fraction

Learn how to find what is 1/9 plus 2/58 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/58 as a fraction and decimal.

Summary: 1/9 plus 2/58 = 38/261
Since both fractions have unequal denominators, 1/9 plus 2/58 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/58 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 58. 522 is the LCM of 9 and 58. Multiplying the LCM 522 with the numerators and denominators of both fractions (1/9 x 522/522) + (2/58 x 522/522), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 58/522 and for 2/58 is 18/522. By simplifying this fraction addition 58/522 + 18/522, it becomes 76/522.

Pie Chart Representation: 1/9 + 2/58 = 38/261

CALCULATION: 1/9 + 2/58 as a fraction
1/9 + 2/58 = (?)
1/9 + 2/58 = [(1 x 58) + (2 x 9)]/(9 x 58)
= (58 + 18)/522
= 76/522
= (2 x 38)/(2 x 261)
= 38/261
1/9 + 2/58 = 38/261
1/9 plus 2/58 as a fraction is 38/261.

where
1/9 is a proper fraction as an addend,
2/58 is a proper fraction as an addend,
38/261 is the sum of 1/9 and 2/58.

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1/9 plus 2/58 as a decimal
1/9 + 2/58 = 38/261
38/261 = 0.1456
(1/9) + (2/58) as a decimal is 0.1456

where
0.1456 is the sum of 1/9 and 2/58.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/58 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/58 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/58) using LCM Method:
What is 1/9 plus 2/58 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/58

What to be found?
(1/9) + (2/58) = ?
Find what's the sum of 1/9 and 2/58.

step 2 Compare the denominators of fractions 1/9 and 2/58 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/58 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 2/58:
The LCM of 9 and 58 is 522.

step 4 Write the fractions 1/9 and 2/58 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/58
= [(1 x 522)/(9 x 522)] + [(2 x 522)/(58 x 522)]

step 5 Simplify the expression to have common denominator:
= 58/522 + 18/522

step 6 Take the common values out and rewrite the above expression like the below:
= 1/522 x (58/1 + 18/1)
= 1/522 x (58 + 18)

step 7Simplify the above expression further:
= 1/522 x 76
= 76/522
= 38/261
1/9 + 2/58 = 38/261

Hence,
1/9 plus 2/58 as a fraction is 38/261.

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1/9 + 2/58 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/58

What to be found?
(1/9)+(2/58) = ?
Find what's the sum of 1/9 and 2/58.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 58), 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 58) and rewrite the equation as like the below:
= (1 x 58) + (2 x 9)/(9 x 58)

step 3 Simplify and rewrite the fraction:
= (58 + 18)/522
= 76/522
= 38/261
1/9 + 2/58 = 38/261

Hence,
1/9 plus 2/58 in fraction is 38/261