What is 2/9 plus 1/11 in fraction?
2/9 plus 1/11 equals to 31/99 in fraction form.
Learn how to find what is 2/9 plus 1/11 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/11 as a fraction and decimal.
Summary: 2/9 plus 1/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/9 and 1/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 99 is the LCM of 9 and 11. Multiply the LCM 99 with all the numerators and denominators of both fractions (2/9 x 99/99) + (1/11 x 99/99) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 31/99.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/9+1/11 using LCM Method:
What is 2/9 plus 1/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/11
What to be found?
2/9+1/11 = ?
Find what's the sum of 2/9 and 1/11.
step 2 Compare the denominators of fractions 2/9 and 1/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/11:
The LCM of 9 and 11 is 99.
step 4 Write the fractions 2/9 and 1/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/9+1/11
=(2 x 99)/(9 x 99)+(1 x 99)/(11 x 99)
step 5 Simplify the expression to have common denominator:
=22/99+9/99
step 6 Take the common values out and rewrite the above expression like the below:
=1/99 x (22/1+9/1)
=1/99 x (22 + 9)
step 7Simplify the above expression further:
=1/99 x 31
=31/99
2/9+1/11=31/99
Hence,
2/9 plus 1/11 equals to 31/99 in fraction.
2/9+1/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/11
What to be found?
2/9+1/11 = ?
Find what's the sum of 2/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 11) and rewrite the equation as like the below:
= (2 x 11) + (1 x 9)/(9 x 11)
step 3 Simplify and rewrite the fraction:
= (22 + 9)/99
2/9+1/11 = 31/99
Hence,
2/9 plus 1/11 = 31/99