1/9 + 2/57 as a fraction

Learn how to find what is 1/9 plus 2/57 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/57 as a fraction and decimal.

Summary: 1/9 plus 2/57 = 25/171
Since both fractions have unequal denominators, 1/9 plus 2/57 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/57 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 57. 171 is the LCM of 9 and 57. Multiplying the LCM 171 with the numerators and denominators of both fractions (1/9 x 171/171) + (2/57 x 171/171), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 19/171 and for 2/57 is 6/171. By simplifying this fraction addition 19/171 + 6/171, it becomes 25/171.

Pie Chart Representation: 1/9 + 2/57 = 25/171

CALCULATION: 1/9 + 2/57 as a fraction
1/9 + 2/57 = (?)
1/9 + 2/57 = [(1 x 57) + (2 x 9)]/(9 x 57)
= (57 + 18)/513
= 75/513
= (3 x 25)/(3 x 171)
= 25/171
1/9 + 2/57 = 25/171
1/9 plus 2/57 as a fraction is 25/171.

where
1/9 is a proper fraction as an addend,
2/57 is a proper fraction as an addend,
25/171 is the sum of 1/9 and 2/57.

---

1/9 plus 2/57 as a decimal
1/9 + 2/57 = 25/171
25/171 = 0.1462
(1/9) + (2/57) as a decimal is 0.1462

where
0.1462 is the sum of 1/9 and 2/57.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/57 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/57 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/57) using LCM Method:
What is 1/9 plus 2/57 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/57

What to be found?
(1/9) + (2/57) = ?
Find what's the sum of 1/9 and 2/57.

step 2 Compare the denominators of fractions 1/9 and 2/57 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/57 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 2/57:
The LCM of 9 and 57 is 171.

step 4 Write the fractions 1/9 and 2/57 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/57
= [(1 x 171)/(9 x 171)] + [(2 x 171)/(57 x 171)]

step 5 Simplify the expression to have common denominator:
= 19/171 + 6/171

step 6 Take the common values out and rewrite the above expression like the below:
= 1/171 x (19/1 + 6/1)
= 1/171 x (19 + 6)

step 7Simplify the above expression further:
= 1/171 x 25
= 25/171
1/9 + 2/57 = 25/171

Hence,
1/9 plus 2/57 as a fraction is 25/171.

---

1/9 + 2/57 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/57

What to be found?
(1/9)+(2/57) = ?
Find what's the sum of 1/9 and 2/57.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 57), 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 57) and rewrite the equation as like the below:
= (1 x 57) + (2 x 9)/(9 x 57)

step 3 Simplify and rewrite the fraction:
= (57 + 18)/513
= 75/513
= 25/171
1/9 + 2/57 = 25/171

Hence,
1/9 plus 2/57 in fraction is 25/171