5/9 plus 5/11 as a fraction

5/9 + 5/11 as a fraction provides the detailed information about what is 5/9 plus 5/11 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
5/9+5/11 equals to
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 is equal to 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: 5/9 + 5/11 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - 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.
Problem and Workout - 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
