What is 1/2 plus 1/3 in fraction?
1/2 plus 1/3 equals to 5/6 in fraction form.
1/2 + 1/3 in fraction form
Learn how to find what is 1/2 plus 1/3 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/3 as a fraction and decimal.
Summary: 1/2 plus 1/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 1/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 2 and 3. Multiply the LCM 6 with all the numerators and denominators of both fractions (1/2 x 6/6) + (1/3 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 5/6.
1/2+1/3 as a fraction
1/2 + 1/3 = (?)
1/2 + 1/3 = [(1 x 3) + (1 x 2)]/(2 x 3)
= (3 + 2)/6
= 5/6
1/2 + 1/3 = 5/6
1/2 plus 1/3 as a fraction is 5/6.
where
1/2 is a fraction as an addend,
1/3 is a fraction as an addend,
5/6 is the sum of 1/2 and 1/3.
1/2 plus 1/3 as a decimal
1/2 + 1/3 = 5/6
5/6 = 0.8333
1/2+1/3 as a decimal is 0.8333
where
0.8333 is the sum of 1/2 and 1/3.
How to find 1/2+1/3 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+1/3 using LCM Method:
What is 1/2 plus 1/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/3
What to be found?
1/2+1/3 = ?
Find what's the sum of 1/2 and 1/3.
step 2 Compare the denominators of fractions 1/2 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/3 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 1/3:
The LCM of 2 and 3 is 6.
step 4 Write the fractions 1/2 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+1/3
=(1 x 6)/(2 x 6)+(1 x 6)/(3 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+1/3=5/6
Hence,
1/2 plus 1/3 equals to 5/6 in fraction.
1/2+1/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/3
What to be found?
1/2+1/3 = ?
Find what's the sum of 1/2 and 1/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 3) and rewrite the equation as like the below:
= (1 x 3) + (1 x 2)/(2 x 3)
step 3 Simplify and rewrite the fraction:
= (3 + 2)/6
1/2+1/3 = 5/6
Hence,
1/2 plus 1/3 = 5/6