What is 2/4 + 1/6 in fraction?
2/4 + 1/6 equals to 2/3 in fraction form.
Learn how to find what is 2/4 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/6 as a fraction and decimal.
Summary: 2/4 plus 1/6 = 2/3
Since both fractions have unequal denominators, 2/4 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 6. 12 is the LCM of 4 and 6. Multiplying the LCM 12 with the numerators and denominators of both fractions (2/4 x 12/12) + (1/6 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 6/12 and for 1/6 is 2/12. By simplifying this fraction addition 6/12 + 2/12, it becomes 8/12.
Pie Chart Representation: 2/4 + 1/6 = 2/3
The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/4) + (1/6) using LCM Method:
What is 2/4 plus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/6
What to be found?
(2/4) + (1/6) = ?
Find what's the sum of 2/4 and 1/6.
step 2 Compare the denominators of fractions 2/4 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 1/6 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 2/4 and 1/6:
The LCM of 4 and 6 is 12.
step 4 Write the fractions 2/4 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/6
= [(2 x 12)/(4 x 12)] + [(1 x 12)/(6 x 12)]
step 5 Simplify the expression to have common denominator:
= 6/12 + 2/12
step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (6/1 + 2/1)
= 1/12 x (6 + 2)
step 7Simplify the above expression further:
= 1/12 x 8
= 8/12
= 2/3
2/4 + 1/6 = 2/3
Hence,
2/4 plus 1/6 as a fraction is 2/3.
2/4 + 1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/6
What to be found?
(2/4)+(1/6) = ?
Find what's the sum of 2/4 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 6) and rewrite the equation as like the below:
= (2 x 6) + (1 x 4)/(4 x 6)
step 3 Simplify and rewrite the fraction:
= (12 + 4)/24
= 16/24
= 2/3
2/4 + 1/6 = 2/3
Hence,
2/4 plus 1/6 in fraction is 2/3