What is 1/6 + 2/41 in fraction?
1/6 + 2/41 equals to 53/246 in fraction form.
Learn how to find what is 1/6 plus 2/41 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/41 as a fraction and decimal.
Summary: 1/6 plus 2/41 = 53/246
Since both fractions have unequal denominators, 1/6 plus 2/41 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/41 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 41. 246 is the LCM of 6 and 41. Multiplying the LCM 246 with the numerators and denominators of both fractions (1/6 x 246/246) + (2/41 x 246/246), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 41/246 and for 2/41 is 12/246. By simplifying this fraction addition 41/246 + 12/246, it becomes 53/246.
Pie Chart Representation: 1/6 + 2/41 = 53/246
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/41 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/41 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/6) + (2/41) using LCM Method:
What is 1/6 plus 2/41 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/41
What to be found?
(1/6) + (2/41) = ?
Find what's the sum of 1/6 and 2/41.
step 2 Compare the denominators of fractions 1/6 and 2/41 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/41 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 2/41:
The LCM of 6 and 41 is 246.
step 4 Write the fractions 1/6 and 2/41 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/41
= [(1 x 246)/(6 x 246)] + [(2 x 246)/(41 x 246)]
step 5 Simplify the expression to have common denominator:
= 41/246 + 12/246
step 6 Take the common values out and rewrite the above expression like the below:
= 1/246 x (41/1 + 12/1)
= 1/246 x (41 + 12)
step 7Simplify the above expression further:
= 1/246 x 53
= 53/246
1/6 + 2/41 = 53/246
Hence,
1/6 plus 2/41 as a fraction is 53/246.
1/6 + 2/41 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/41
What to be found?
(1/6)+(2/41) = ?
Find what's the sum of 1/6 and 2/41.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 41), 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 41) and rewrite the equation as like the below:
= (1 x 41) + (2 x 6)/(6 x 41)
step 3 Simplify and rewrite the fraction:
= (41 + 12)/246
1/6 + 2/41 = 53/246
Hence,
1/6 plus 2/41 in fraction is 53/246