What is 11/5 plus 3/13 in fraction?
11/5 plus 3/13 equals to 158/65 in fraction form.
Learn how to find what is 11/5 plus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/5 + 3/13 as a fraction and decimal.
Summary: 11/5 plus 3/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 11/5 and 3/13 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 (11/5 x 65/65) + (3/13 x 65/65) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 158/65.
The below workout with step by step calculation shows how to find the equivalent fraction between 11/5 and 3/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/5 plus 3/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
11/5+3/13 using LCM Method:
What is 11/5 plus 3/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 3/13
What to be found?
11/5+3/13 = ?
Find what's the sum of 11/5 and 3/13.
step 2 Compare the denominators of fractions 11/5 and 3/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/5 and 3/13 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 11/5 and 3/13:
The LCM of 5 and 13 is 65.
step 4 Write the fractions 11/5 and 3/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=11/5+3/13
=(11 x 65)/(5 x 65)+(3 x 65)/(13 x 65)
step 5 Simplify the expression to have common denominator:
=143/65+15/65
step 6 Take the common values out and rewrite the above expression like the below:
=1/65 x (143/1+15/1)
=1/65 x (143 + 15)
step 7Simplify the above expression further:
=1/65 x 158
=158/65
11/5+3/13=158/65
Hence,
11/5 plus 3/13 equals to 158/65 in fraction.
11/5+3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 3/13
What to be found?
11/5+3/13 = ?
Find what's the sum of 11/5 and 3/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (11 x 13) + (3 x 5)/(5 x 13)
step 3 Simplify and rewrite the fraction:
= (143 + 15)/65
11/5+3/13 = 158/65
Hence,
11/5 plus 3/13 = 158/65