1/8 + 2/54 as a fraction

Learn how to find what is 1/8 plus 2/54 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/54 as a fraction and decimal.

Summary: 1/8 plus 2/54 = 35/216
Since both fractions have unequal denominators, 1/8 plus 2/54 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/54 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 (1/8 x 216/216) + (2/54 x 216/216), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 27/216 and for 2/54 is 8/216. By simplifying this fraction addition 27/216 + 8/216, it becomes 35/216.

Pie Chart Representation: 1/8 + 2/54 = 35/216

CALCULATION: 1/8 + 2/54 as a fraction
1/8 + 2/54 = (?)
1/8 + 2/54 = [(1 x 54) + (2 x 8)]/(8 x 54)
= (54 + 16)/432
= 70/432
= (2 x 35)/(2 x 216)
= 35/216
1/8 + 2/54 = 35/216
1/8 plus 2/54 as a fraction is 35/216.

where
1/8 is a proper fraction as an addend,
2/54 is a proper fraction as an addend,
35/216 is the sum of 1/8 and 2/54.

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1/8 plus 2/54 as a decimal
1/8 + 2/54 = 35/216
35/216 = 0.162
(1/8) + (2/54) as a decimal is 0.162

where
0.162 is the sum of 1/8 and 2/54.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/54 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/54 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/8) + (2/54) using LCM Method:
What is 1/8 plus 2/54 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/54

What to be found?
(1/8) + (2/54) = ?
Find what's the sum of 1/8 and 2/54.

step 2 Compare the denominators of fractions 1/8 and 2/54 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 2/54 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 1/8 and 2/54:
The LCM of 8 and 54 is 216.

step 4 Write the fractions 1/8 and 2/54 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/54
= [(1 x 216)/(8 x 216)] + [(2 x 216)/(54 x 216)]

step 5 Simplify the expression to have common denominator:
= 27/216 + 8/216

step 6 Take the common values out and rewrite the above expression like the below:
= 1/216 x (27/1 + 8/1)
= 1/216 x (27 + 8)

step 7Simplify the above expression further:
= 1/216 x 35
= 35/216
1/8 + 2/54 = 35/216

Hence,
1/8 plus 2/54 as a fraction is 35/216.

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1/8 + 2/54 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/54

What to be found?
(1/8)+(2/54) = ?
Find what's the sum of 1/8 and 2/54.

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 (2 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:
= (1 x 54) + (2 x 8)/(8 x 54)

step 3 Simplify and rewrite the fraction:
= (54 + 16)/432
= 70/432
= 35/216
1/8 + 2/54 = 35/216

Hence,
1/8 plus 2/54 in fraction is 35/216