What is 1/6 + 2/54 in fraction?
1/6 + 2/54 equals to 11/54 in fraction form.
Learn how to find what is 1/6 plus 2/54 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/54 as a fraction and decimal.
Summary: 1/6 plus 2/54 = 11/54
Since both fractions have unequal denominators, 1/6 plus 2/54 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/54 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 54. 54 is the LCM of 6 and 54. Multiplying the LCM 54 with the numerators and denominators of both fractions (1/6 x 54/54) + (2/54 x 54/54), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 9/54 and for 2/54 is 2/54. By simplifying this fraction addition 9/54 + 2/54, it becomes 11/54.
Pie Chart Representation: 1/6 + 2/54 = 11/54
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/54 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/54 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/6) + (2/54) using LCM Method:
What is 1/6 plus 2/54 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/54
What to be found?
(1/6) + (2/54) = ?
Find what's the sum of 1/6 and 2/54.
step 2 Compare the denominators of fractions 1/6 and 2/54 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 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 1/6 and 2/54:
The LCM of 6 and 54 is 54.
step 4 Write the fractions 1/6 and 2/54 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/54
= [(1 x 54)/(6 x 54)] + [(2 x 54)/(54 x 54)]
step 5 Simplify the expression to have common denominator:
= 9/54 + 2/54
step 6 Take the common values out and rewrite the above expression like the below:
= 1/54 x (9/1 + 2/1)
= 1/54 x (9 + 2)
step 7Simplify the above expression further:
= 1/54 x 11
= 11/54
1/6 + 2/54 = 11/54
Hence,
1/6 plus 2/54 as a fraction is 11/54.
1/6 + 2/54 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/54
What to be found?
(1/6)+(2/54) = ?
Find what's the sum of 1/6 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 6), and find the product of both denominators of Fraction A and Fraction B (6 x 54) and rewrite the equation as like the below:
= (1 x 54) + (2 x 6)/(6 x 54)
step 3 Simplify and rewrite the fraction:
= (54 + 12)/324
= 66/324
= 11/54
1/6 + 2/54 = 11/54
Hence,
1/6 plus 2/54 in fraction is 11/54