What is 2/6 + 1/68 in fraction?
2/6 + 1/68 equals to 71/204 in fraction form.
Learn how to find what is 2/6 plus 1/68 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/68 as a fraction and decimal.
Summary: 2/6 plus 1/68 = 71/204
Since both fractions have unequal denominators, 2/6 plus 1/68 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/68 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 68. 204 is the LCM of 6 and 68. Multiplying the LCM 204 with the numerators and denominators of both fractions (2/6 x 204/204) + (1/68 x 204/204), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 68/204 and for 1/68 is 3/204. By simplifying this fraction addition 68/204 + 3/204, it becomes 71/204.
Pie Chart Representation: 2/6 + 1/68 = 71/204
The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/68 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/68 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/6) + (1/68) using LCM Method:
What is 2/6 plus 1/68 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/68
What to be found?
(2/6) + (1/68) = ?
Find what's the sum of 2/6 and 1/68.
step 2 Compare the denominators of fractions 2/6 and 1/68 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/68 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 2/6 and 1/68:
The LCM of 6 and 68 is 204.
step 4 Write the fractions 2/6 and 1/68 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/68
= [(2 x 204)/(6 x 204)] + [(1 x 204)/(68 x 204)]
step 5 Simplify the expression to have common denominator:
= 68/204 + 3/204
step 6 Take the common values out and rewrite the above expression like the below:
= 1/204 x (68/1 + 3/1)
= 1/204 x (68 + 3)
step 7Simplify the above expression further:
= 1/204 x 71
= 71/204
2/6 + 1/68 = 71/204
Hence,
2/6 plus 1/68 as a fraction is 71/204.
2/6 + 1/68 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/68
What to be found?
(2/6)+(1/68) = ?
Find what's the sum of 2/6 and 1/68.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 68), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 68) and rewrite the equation as like the below:
= (2 x 68) + (1 x 6)/(6 x 68)
step 3 Simplify and rewrite the fraction:
= (136 + 6)/408
= 142/408
= 71/204
2/6 + 1/68 = 71/204
Hence,
2/6 plus 1/68 in fraction is 71/204