What is 1/2 plus 2/6 in fraction?
1/2 plus 2/6 equals to 5/6 in fraction form.
Learn how to find what is 1/2 plus 2/6 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 2/6 as a fraction and decimal.
Summary: 1/2 plus 2/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 2/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 2 and 6. Multiply the LCM 6 with all the numerators and denominators of both fractions (1/2 x 6/6) + (2/6 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 5/6.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 2/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 2/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+2/6 using LCM Method:
What is 1/2 plus 2/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/6
What to be found?
1/2+2/6 = ?
Find what's the sum of 1/2 and 2/6.
step 2 Compare the denominators of fractions 1/2 and 2/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 2/6 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 1/2 and 2/6:
The LCM of 2 and 6 is 6.
step 4 Write the fractions 1/2 and 2/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+2/6
=(1 x 6)/(2 x 6)+(2 x 6)/(6 x 6)
step 5 Simplify the expression to have common denominator:
=3/6+2/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (3/1+2/1)
=1/6 x (3 + 2)
step 7Simplify the above expression further:
=1/6 x 5
=5/6
1/2+2/6=5/6
Hence,
1/2 plus 2/6 equals to 5/6 in fraction.
1/2+2/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/6
What to be found?
1/2+2/6 = ?
Find what's the sum of 1/2 and 2/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 6), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 6) and rewrite the equation as like the below:
= (1 x 6) + (2 x 2)/(2 x 6)
step 3 Simplify and rewrite the fraction:
= (6 + 4)/12
= 10/12
= 5/6
1/2+2/6 = 5/6
Hence,
1/2 plus 2/6 = 5/6