What is 11/5 plus 2/15 in fraction?
11/5 plus 2/15 equals to 7/3 in fraction form.
Learn how to find what is 11/5 plus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 11/5 + 2/15 as a fraction and decimal.
Summary: 11/5 plus 2/15
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 11/5 and 2/15 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 5 and 15. Multiply the LCM 15 with all the numerators and denominators of both fractions (11/5 x 15/15) + (2/15 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 35/15.
The below workout with step by step calculation shows how to find the equivalent fraction between 11/5 and 2/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/5 plus 2/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
11/5+2/15 using LCM Method:
What is 11/5 plus 2/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 2/15
What to be found?
11/5+2/15 = ?
Find what's the sum of 11/5 and 2/15.
step 2 Compare the denominators of fractions 11/5 and 2/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/5 and 2/15 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 2/15:
The LCM of 5 and 15 is 15.
step 4 Write the fractions 11/5 and 2/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=11/5+2/15
=(11 x 15)/(5 x 15)+(2 x 15)/(15 x 15)
step 5 Simplify the expression to have common denominator:
=33/15+2/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (33/1+2/1)
=1/15 x (33 + 2)
step 7Simplify the above expression further:
=1/15 x 35
= 35/15
=7/3
11/5+2/15=7/3
Hence,
11/5 plus 2/15 equals to 7/3 in fraction.
11/5+2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 2/15
What to be found?
11/5+2/15 = ?
Find what's the sum of 11/5 and 2/15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 15), 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 15) and rewrite the equation as like the below:
= (11 x 15) + (2 x 5)/(5 x 15)
step 3 Simplify and rewrite the fraction:
= (165 + 10)/75
= 175/75
= 7/3
11/5+2/15 = 7/3
Hence,
11/5 plus 2/15 = 7/3