What is 5/9 plus 5/11 in fraction?
5/9 plus 5/11 equals to 100/99 in fraction form.
5/9 + 5/11 in fraction form
Learn how to find what is 5/9 plus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 5/11 as a fraction and decimal.
Summary: 5/9 plus 5/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 5/11 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 (5/9 x 99/99) + (5/11 x 99/99) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 100/99.
5/9+5/11 as a fraction
5/9 + 5/11 = (?)
5/9 + 5/11 = [(5 x 11) + (5 x 9)]/(9 x 11)
= (55 + 45)/99
= 100/99
5/9 + 5/11 = 100/99
5/9 plus 5/11 as a fraction is 100/99.
where
5/9 is a fraction as an addend,
5/11 is a fraction as an addend,
100/99 is the sum of 5/9 and 5/11.
5/9 plus 5/11 as a decimal
5/9 + 5/11 = 100/99
100/99 = 1.0101
5/9+5/11 as a decimal is 1.0101
where
1.0101 is the sum of 5/9 and 5/11.
How to find 5/9+5/11 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 5/9 and 5/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/9 plus 5/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/9+5/11 using LCM Method:
What is 5/9 plus 5/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 5/11
What to be found?
5/9+5/11 = ?
Find what's the sum of 5/9 and 5/11.
step 2 Compare the denominators of fractions 5/9 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 5/11 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 5/9 and 5/11:
The LCM of 9 and 11 is 99.
step 4 Write the fractions 5/9 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9+5/11
=(5 x 99)/(9 x 99)+(5 x 99)/(11 x 99)
step 5 Simplify the expression to have common denominator:
=55/99+45/99
step 6 Take the common values out and rewrite the above expression like the below:
=1/99 x (55/1+45/1)
=1/99 x (55 + 45)
step 7Simplify the above expression further:
=1/99 x 100
=100/99
5/9+5/11=100/99
Hence,
5/9 plus 5/11 equals to 100/99 in fraction.
5/9+5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 5/11
What to be found?
5/9+5/11 = ?
Find what's the sum of 5/9 and 5/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (5 x 11) + (5 x 9)/(9 x 11)
step 3 Simplify and rewrite the fraction:
= (55 + 45)/99
5/9+5/11 = 100/99
Hence,
5/9 plus 5/11 = 100/99