What is 1/5 plus 2/11 in fraction?
1/5 plus 2/11 equals to 21/55 in fraction form.
Learn how to find what is 1/5 plus 2/11 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/11 as a fraction and decimal.
Summary: 1/5 plus 2/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/5 and 2/11 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 (1/5 x 55/55) + (2/11 x 55/55) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 21/55.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/5+2/11 using LCM Method:
What is 1/5 plus 2/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/11
What to be found?
1/5+2/11 = ?
Find what's the sum of 1/5 and 2/11.
step 2 Compare the denominators of fractions 1/5 and 2/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/11 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 1/5 and 2/11:
The LCM of 5 and 11 is 55.
step 4 Write the fractions 1/5 and 2/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/5+2/11
=(1 x 55)/(5 x 55)+(2 x 55)/(11 x 55)
step 5 Simplify the expression to have common denominator:
=11/55+10/55
step 6 Take the common values out and rewrite the above expression like the below:
=1/55 x (11/1+10/1)
=1/55 x (11 + 10)
step 7Simplify the above expression further:
=1/55 x 21
=21/55
1/5+2/11=21/55
Hence,
1/5 plus 2/11 equals to 21/55 in fraction.
1/5+2/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/11
What to be found?
1/5+2/11 = ?
Find what's the sum of 1/5 and 2/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), 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 11) and rewrite the equation as like the below:
= (1 x 11) + (2 x 5)/(5 x 11)
step 3 Simplify and rewrite the fraction:
= (11 + 10)/55
1/5+2/11 = 21/55
Hence,
1/5 plus 2/11 = 21/55