What is 1/2 + 1/57 in fraction?
1/2 + 1/57 equals to 59/114 in fraction form.
Learn how to find what is 1/2 plus 1/57 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/57 as a fraction and decimal.
Summary: 1/2 plus 1/57 = 59/114
Since both fractions have unequal denominators, 1/2 plus 1/57 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/57 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 57. 114 is the LCM of 2 and 57. Multiplying the LCM 114 with the numerators and denominators of both fractions (1/2 x 114/114) + (1/57 x 114/114), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 57/114 and for 1/57 is 2/114. By simplifying this fraction addition 57/114 + 2/114, it becomes 59/114.
Pie Chart Representation: 1/2 + 1/57 = 59/114
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/57 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/57 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/2) + (1/57) using LCM Method:
What is 1/2 plus 1/57 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/57
What to be found?
(1/2) + (1/57) = ?
Find what's the sum of 1/2 and 1/57.
step 2 Compare the denominators of fractions 1/2 and 1/57 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/57 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 1/2 and 1/57:
The LCM of 2 and 57 is 114.
step 4 Write the fractions 1/2 and 1/57 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/57
= [(1 x 114)/(2 x 114)] + [(1 x 114)/(57 x 114)]
step 5 Simplify the expression to have common denominator:
= 57/114 + 2/114
step 6 Take the common values out and rewrite the above expression like the below:
= 1/114 x (57/1 + 2/1)
= 1/114 x (57 + 2)
step 7Simplify the above expression further:
= 1/114 x 59
= 59/114
1/2 + 1/57 = 59/114
Hence,
1/2 plus 1/57 as a fraction is 59/114.
1/2 + 1/57 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/57
What to be found?
(1/2)+(1/57) = ?
Find what's the sum of 1/2 and 1/57.
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 (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 57) and rewrite the equation as like the below:
= (1 x 57) + (1 x 2)/(2 x 57)
step 3 Simplify and rewrite the fraction:
= (57 + 2)/114
1/2 + 1/57 = 59/114
Hence,
1/2 plus 1/57 in fraction is 59/114