What is 18/19 + 15 in fraction?
18/19 + 15 equals to 303/19 in fraction form.
Learn how to find what is 18/19 plus 15 in fraction form just in a few minutes. We have covered the easiest method to write 18/19 + 15 as a fraction and decimal.
Summary: 18/19 plus 15 = 303/19
Since both fractions have unequal denominators, 18/19 plus 15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/19 and fraction 15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 1. 19 is the LCM of 19 and 1. Multiplying the LCM 19 with the numerators and denominators of both fractions (18/19 x 19/19) + (15 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 18/19 is 18/19 and for 15 is 285/19. By simplifying this fraction addition 18/19 + 285/19, it becomes 303/19.
The below workout with step by step calculation shows how to find the equivalent fraction between 18/19 and 15 by adding fraction to a whole number . The sum in fraction form for 18/19 plus 15/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(18/19) + (15) using LCM Method:
What is 18/19 plus 15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/19
Fraction B: 15/1
What to be found?
(18/19) + (15) = ?
Find what's the sum of 18/19 and 15.
step 2 Compare the denominators of fractions 18/19 and 15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/19 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 18/19 and 15:
The LCM of 19 and 1 is 19.
step 4 Write the fractions 18/19 and 15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/19 + 15
= [(18 x 19)/(19 x 19)] + [(15 x 19)/(1 x 19)]
step 5 Simplify the expression to have common denominator:
= 18/19 + 285/19
step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (18/1 + 285/1)
= 1/19 x (18 + 285)
step 7Simplify the above expression further:
= 1/19 x 303
= 303/19
18/19 + 15 = 303/19
Hence,
18/19 plus 15 as a fraction is 303/19.
18/19 + 15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/19
Fraction B: 15/1
What to be found?
(18/19)+(15) = ?
Find what's the sum of 18/19 and 15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 1), find the product of numerator of Fraction B and denominator of Fraction A (15 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 1) and rewrite the equation as like the below:
= (18 x 1) + (15 x 19)/(19 x 1)
step 3 Simplify and rewrite the fraction:
= (18 + 285)/19
18/19 + 15 = 303/19
Hence,
18/19 plus 15 in fraction is 303/19