What is 5/9 plus 5/13 in fraction?
5/9 plus 5/13 equals to 110/117 in fraction form.
Learn how to find what is 5/9 plus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 5/13 as a fraction and decimal.
Summary: 5/9 plus 5/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 5/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 117 is the LCM of 9 and 13. Multiply the LCM 117 with all the numerators and denominators of both fractions (5/9 x 117/117) + (5/13 x 117/117) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 110/117.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/9 and 5/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/9 plus 5/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/9+5/13 using LCM Method:
What is 5/9 plus 5/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 5/13
What to be found?
5/9+5/13 = ?
Find what's the sum of 5/9 and 5/13.
step 2 Compare the denominators of fractions 5/9 and 5/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 5/13 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 5/13:
The LCM of 9 and 13 is 117.
step 4 Write the fractions 5/9 and 5/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9+5/13
=(5 x 117)/(9 x 117)+(5 x 117)/(13 x 117)
step 5 Simplify the expression to have common denominator:
=65/117+45/117
step 6 Take the common values out and rewrite the above expression like the below:
=1/117 x (65/1+45/1)
=1/117 x (65 + 45)
step 7Simplify the above expression further:
=1/117 x 110
=110/117
5/9+5/13=110/117
Hence,
5/9 plus 5/13 equals to 110/117 in fraction.
5/9+5/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 5/13
What to be found?
5/9+5/13 = ?
Find what's the sum of 5/9 and 5/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), 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 13) and rewrite the equation as like the below:
= (5 x 13) + (5 x 9)/(9 x 13)
step 3 Simplify and rewrite the fraction:
= (65 + 45)/117
5/9+5/13 = 110/117
Hence,
5/9 plus 5/13 = 110/117