What is 2/5 plus 2/13 in fraction?
2/5 plus 2/13 equals to 36/65 in fraction form.
2/5 + 2/13 in fraction form
Learn how to find what is 2/5 plus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 2/13 as a fraction and decimal.
Summary: 2/5 plus 2/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 2/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 65 is the LCM of 5 and 13. Multiply the LCM 65 with all the numerators and denominators of both fractions (2/5 x 65/65) + (2/13 x 65/65) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 36/65.
2/5+2/13 as a fraction
2/5 + 2/13 = (?)
2/5 + 2/13 = [(2 x 13) + (2 x 5)]/(5 x 13)
= (26 + 10)/65
= 36/65
2/5 + 2/13 = 36/65
2/5 plus 2/13 as a fraction is 36/65.
where
2/5 is a fraction as an addend,
2/13 is a fraction as an addend,
36/65 is the sum of 2/5 and 2/13.
2/5 plus 2/13 as a decimal
2/5 + 2/13 = 36/65
36/65 = 0.5538
2/5+2/13 as a decimal is 0.5538
where
0.5538 is the sum of 2/5 and 2/13.
How to find 2/5+2/13 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 2/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 2/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+2/13 using LCM Method:
What is 2/5 plus 2/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/13
What to be found?
2/5+2/13 = ?
Find what's the sum of 2/5 and 2/13.
step 2 Compare the denominators of fractions 2/5 and 2/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 2/13 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 2/5 and 2/13:
The LCM of 5 and 13 is 65.
step 4 Write the fractions 2/5 and 2/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+2/13
=(2 x 65)/(5 x 65)+(2 x 65)/(13 x 65)
step 5 Simplify the expression to have common denominator:
=26/65+10/65
step 6 Take the common values out and rewrite the above expression like the below:
=1/65 x (26/1+10/1)
=1/65 x (26 + 10)
step 7Simplify the above expression further:
=1/65 x 36
=36/65
2/5+2/13=36/65
Hence,
2/5 plus 2/13 equals to 36/65 in fraction.
2/5+2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/13
What to be found?
2/5+2/13 = ?
Find what's the sum of 2/5 and 2/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 13), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 13) and rewrite the equation as like the below:
= (2 x 13) + (2 x 5)/(5 x 13)
step 3 Simplify and rewrite the fraction:
= (26 + 10)/65
2/5+2/13 = 36/65
Hence,
2/5 plus 2/13 = 36/65