What is 1/2 + 1/55 in fraction?
1/2 + 1/55 equals to 57/110 in fraction form.
Learn how to find what is 1/2 plus 1/55 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/55 as a fraction and decimal.
Summary: 1/2 plus 1/55 = 57/110
Since both fractions have unequal denominators, 1/2 plus 1/55 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/55 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 55. 110 is the LCM of 2 and 55. Multiplying the LCM 110 with the numerators and denominators of both fractions (1/2 x 110/110) + (1/55 x 110/110), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 55/110 and for 1/55 is 2/110. By simplifying this fraction addition 55/110 + 2/110, it becomes 57/110.
Pie Chart Representation: 1/2 + 1/55 = 57/110
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/55 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/55 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/2) + (1/55) using LCM Method:
What is 1/2 plus 1/55 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/55
What to be found?
(1/2) + (1/55) = ?
Find what's the sum of 1/2 and 1/55.
step 2 Compare the denominators of fractions 1/2 and 1/55 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/55 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 1/55:
The LCM of 2 and 55 is 110.
step 4 Write the fractions 1/2 and 1/55 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/55
= [(1 x 110)/(2 x 110)] + [(1 x 110)/(55 x 110)]
step 5 Simplify the expression to have common denominator:
= 55/110 + 2/110
step 6 Take the common values out and rewrite the above expression like the below:
= 1/110 x (55/1 + 2/1)
= 1/110 x (55 + 2)
step 7Simplify the above expression further:
= 1/110 x 57
= 57/110
1/2 + 1/55 = 57/110
Hence,
1/2 plus 1/55 as a fraction is 57/110.
1/2 + 1/55 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/55
What to be found?
(1/2)+(1/55) = ?
Find what's the sum of 1/2 and 1/55.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 55), 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 55) and rewrite the equation as like the below:
= (1 x 55) + (1 x 2)/(2 x 55)
step 3 Simplify and rewrite the fraction:
= (55 + 2)/110
1/2 + 1/55 = 57/110
Hence,
1/2 plus 1/55 in fraction is 57/110