What is 1/2 + 1/54 in fraction?
1/2 + 1/54 equals to 14/27 in fraction form.
Learn how to find what is 1/2 plus 1/54 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/54 as a fraction and decimal.
Summary: 1/2 plus 1/54 = 14/27
Since both fractions have unequal denominators, 1/2 plus 1/54 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/54 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 54. 54 is the LCM of 2 and 54. Multiplying the LCM 54 with the numerators and denominators of both fractions (1/2 x 54/54) + (1/54 x 54/54), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 27/54 and for 1/54 is 1/54. By simplifying this fraction addition 27/54 + 1/54, it becomes 28/54.
Pie Chart Representation: 1/2 + 1/54 = 14/27
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/54 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/54 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/2) + (1/54) using LCM Method:
What is 1/2 plus 1/54 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/54
What to be found?
(1/2) + (1/54) = ?
Find what's the sum of 1/2 and 1/54.
step 2 Compare the denominators of fractions 1/2 and 1/54 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/54 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 1/54:
The LCM of 2 and 54 is 54.
step 4 Write the fractions 1/2 and 1/54 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/54
= [(1 x 54)/(2 x 54)] + [(1 x 54)/(54 x 54)]
step 5 Simplify the expression to have common denominator:
= 27/54 + 1/54
step 6 Take the common values out and rewrite the above expression like the below:
= 1/54 x (27/1 + 1/1)
= 1/54 x (27 + 1)
step 7Simplify the above expression further:
= 1/54 x 28
= 28/54
= 14/27
1/2 + 1/54 = 14/27
Hence,
1/2 plus 1/54 as a fraction is 14/27.
1/2 + 1/54 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/54
What to be found?
(1/2)+(1/54) = ?
Find what's the sum of 1/2 and 1/54.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 54), 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 54) and rewrite the equation as like the below:
= (1 x 54) + (1 x 2)/(2 x 54)
step 3 Simplify and rewrite the fraction:
= (54 + 2)/108
= 56/108
= 14/27
1/2 + 1/54 = 14/27
Hence,
1/2 plus 1/54 in fraction is 14/27