What is 2/8 + 1/54 in fraction?
2/8 + 1/54 equals to 29/108 in fraction form.
Learn how to find what is 2/8 plus 1/54 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/54 as a fraction and decimal.
Summary: 2/8 plus 1/54 = 29/108
Since both fractions have unequal denominators, 2/8 plus 1/54 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/54 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 54. 216 is the LCM of 8 and 54. Multiplying the LCM 216 with the numerators and denominators of both fractions (2/8 x 216/216) + (1/54 x 216/216), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 54/216 and for 1/54 is 4/216. By simplifying this fraction addition 54/216 + 4/216, it becomes 58/216.
Pie Chart Representation: 2/8 + 1/54 = 29/108
The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/54 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/54 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/8) + (1/54) using LCM Method:
What is 2/8 plus 1/54 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/54
What to be found?
(2/8) + (1/54) = ?
Find what's the sum of 2/8 and 1/54.
step 2 Compare the denominators of fractions 2/8 and 1/54 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 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 2/8 and 1/54:
The LCM of 8 and 54 is 216.
step 4 Write the fractions 2/8 and 1/54 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/54
= [(2 x 216)/(8 x 216)] + [(1 x 216)/(54 x 216)]
step 5 Simplify the expression to have common denominator:
= 54/216 + 4/216
step 6 Take the common values out and rewrite the above expression like the below:
= 1/216 x (54/1 + 4/1)
= 1/216 x (54 + 4)
step 7Simplify the above expression further:
= 1/216 x 58
= 58/216
= 29/108
2/8 + 1/54 = 29/108
Hence,
2/8 plus 1/54 as a fraction is 29/108.
2/8 + 1/54 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/54
What to be found?
(2/8)+(1/54) = ?
Find what's the sum of 2/8 and 1/54.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 54), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 54) and rewrite the equation as like the below:
= (2 x 54) + (1 x 8)/(8 x 54)
step 3 Simplify and rewrite the fraction:
= (108 + 8)/432
= 116/432
= 29/108
2/8 + 1/54 = 29/108
Hence,
2/8 plus 1/54 in fraction is 29/108