What is 1/2 plus 6/13 in fraction?
1/2 plus 6/13 equals to 25/26 in fraction form.
Learn how to find what is 1/2 plus 6/13 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 6/13 as a fraction and decimal.
Summary: 1/2 plus 6/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 6/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 26 is the LCM of 2 and 13. Multiply the LCM 26 with all the numerators and denominators of both fractions (1/2 x 26/26) + (6/13 x 26/26) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 25/26.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 6/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 6/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+6/13 using LCM Method:
What is 1/2 plus 6/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 6/13
What to be found?
1/2+6/13 = ?
Find what's the sum of 1/2 and 6/13.
step 2 Compare the denominators of fractions 1/2 and 6/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 6/13 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 6/13:
The LCM of 2 and 13 is 26.
step 4 Write the fractions 1/2 and 6/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+6/13
=(1 x 26)/(2 x 26)+(6 x 26)/(13 x 26)
step 5 Simplify the expression to have common denominator:
=13/26+12/26
step 6 Take the common values out and rewrite the above expression like the below:
=1/26 x (13/1+12/1)
=1/26 x (13 + 12)
step 7Simplify the above expression further:
=1/26 x 25
=25/26
1/2+6/13=25/26
Hence,
1/2 plus 6/13 equals to 25/26 in fraction.
1/2+6/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 6/13
What to be found?
1/2+6/13 = ?
Find what's the sum of 1/2 and 6/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 13), find the product of numerator of Fraction B and denominator of Fraction A (6 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (1 x 13) + (6 x 2)/(2 x 13)
step 3 Simplify and rewrite the fraction:
= (13 + 12)/26
1/2+6/13 = 25/26
Hence,
1/2 plus 6/13 = 25/26