What is 5/9 + 15 in fraction?
5/9 + 15 equals to 140/9 in fraction form.
Learn how to find what is 5/9 plus 15 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 15 as a fraction and decimal.
Summary: 5/9 plus 15 = 140/9
Since both fractions have unequal denominators, 5/9 plus 15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 1. 9 is the LCM of 9 and 1. Multiplying the LCM 9 with the numerators and denominators of both fractions (5/9 x 9/9) + (15 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 5/9 and for 15 is 135/9. By simplifying this fraction addition 5/9 + 135/9, it becomes 140/9.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/9 and 15 by adding fraction to a whole number . The sum in fraction form for 5/9 plus 15/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(5/9) + (15) using LCM Method:
What is 5/9 plus 15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 15/1
What to be found?
(5/9) + (15) = ?
Find what's the sum of 5/9 and 15.
step 2 Compare the denominators of fractions 5/9 and 15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 15 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 15:
The LCM of 9 and 1 is 9.
step 4 Write the fractions 5/9 and 15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 + 15
= [(5 x 9)/(9 x 9)] + [(15 x 9)/(1 x 9)]
step 5 Simplify the expression to have common denominator:
= 5/9 + 135/9
step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (5/1 + 135/1)
= 1/9 x (5 + 135)
step 7Simplify the above expression further:
= 1/9 x 140
= 140/9
5/9 + 15 = 140/9
Hence,
5/9 plus 15 as a fraction is 140/9.
5/9 + 15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 15/1
What to be found?
(5/9)+(15) = ?
Find what's the sum of 5/9 and 15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 1), find the product of numerator of Fraction B and denominator of Fraction A (15 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
= (5 x 1) + (15 x 9)/(9 x 1)
step 3 Simplify and rewrite the fraction:
= (5 + 135)/9
5/9 + 15 = 140/9
Hence,
5/9 plus 15 in fraction is 140/9