What is 2/5 plus 1/11 in fraction?
2/5 plus 1/11 equals to 27/55 in fraction form.
2/5 + 1/11 in fraction form
Learn how to find what is 2/5 plus 1/11 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/11 as a fraction and decimal.
Summary: 2/5 plus 1/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 1/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 55 is the LCM of 5 and 11. Multiply the LCM 55 with all the numerators and denominators of both fractions (2/5 x 55/55) + (1/11 x 55/55) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 27/55.
2/5+1/11 as a fraction
2/5 + 1/11 = (?)
2/5 + 1/11 = [(2 x 11) + (1 x 5)]/(5 x 11)
= (22 + 5)/55
= 27/55
2/5 + 1/11 = 27/55
2/5 plus 1/11 as a fraction is 27/55.
where
2/5 is a fraction as an addend,
1/11 is a fraction as an addend,
27/55 is the sum of 2/5 and 1/11.
2/5 plus 1/11 as a decimal
2/5 + 1/11 = 27/55
27/55 = 0.4909
2/5+1/11 as a decimal is 0.4909
where
0.4909 is the sum of 2/5 and 1/11.
How to find 2/5+1/11 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+1/11 using LCM Method:
What is 2/5 plus 1/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/11
What to be found?
2/5+1/11 = ?
Find what's the sum of 2/5 and 1/11.
step 2 Compare the denominators of fractions 2/5 and 1/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/11 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 1/11:
The LCM of 5 and 11 is 55.
step 4 Write the fractions 2/5 and 1/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+1/11
=(2 x 55)/(5 x 55)+(1 x 55)/(11 x 55)
step 5 Simplify the expression to have common denominator:
=22/55+5/55
step 6 Take the common values out and rewrite the above expression like the below:
=1/55 x (22/1+5/1)
=1/55 x (22 + 5)
step 7Simplify the above expression further:
=1/55 x 27
=27/55
2/5+1/11=27/55
Hence,
2/5 plus 1/11 equals to 27/55 in fraction.
2/5+1/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/11
What to be found?
2/5+1/11 = ?
Find what's the sum of 2/5 and 1/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 11), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 11) and rewrite the equation as like the below:
= (2 x 11) + (1 x 5)/(5 x 11)
step 3 Simplify and rewrite the fraction:
= (22 + 5)/55
2/5+1/11 = 27/55
Hence,
2/5 plus 1/11 = 27/55