5/1 + 15/19 as a fraction

Learn how to find what is 5/1 plus 15/19 in fraction form just in a few minutes. We have covered the easiest method to write 5/1 + 15/19 as a fraction and decimal.

Summary: 5/1 plus 15/19 = 110/19
Since both fractions have unequal denominators, 5/1 plus 15/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/1 and fraction 15/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 19. 19 is the LCM of 1 and 19. Multiplying the LCM 19 with the numerators and denominators of both fractions (5/1 x 19/19) + (15/19 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 5/1 is 95/19 and for 15/19 is 15/19. By simplifying this fraction addition 95/19 + 15/19, it becomes 110/19.

CALCULATION: 5/1 + 15/19 as a fraction
5/1 + 15/19 = (?)
5/1 + 15/19 = [(5 x 19) + (15 x 1)]/(1 x 19)
= (95 + 15)/19
= 110/19
5/1 + 15/19 = 110/19
5/1 plus 15/19 as a fraction is 110/19.

where
5/1 is a improper fraction as an addend,
15/19 is a proper fraction as an addend,
110/19 is the sum of 5/1 and 15/19.

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5/1 plus 15/19 as a decimal
5/1 + 15/19 = 110/19
110/19 = 5.7895
(5/1) + (15/19) as a decimal is 5.7895

where
5.7895 is the sum of 5/1 and 15/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/1 and 15/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/1 plus 15/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/1) + (15/19) using LCM Method:
What is 5/1 plus 15/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 15/19

What to be found?
(5/1) + (15/19) = ?
Find what's the sum of 5/1 and 15/19.

step 2 Compare the denominators of fractions 5/1 and 15/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/1 and 15/19 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 5/1 and 15/19:
The LCM of 1 and 19 is 19.

step 4 Write the fractions 5/1 and 15/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/1 + 15/19
= [(5 x 19)/(1 x 19)] + [(15 x 19)/(19 x 19)]

step 5 Simplify the expression to have common denominator:
= 95/19 + 15/19

step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (95/1 + 15/1)
= 1/19 x (95 + 15)

step 7Simplify the above expression further:
= 1/19 x 110
= 110/19
5/1 + 15/19 = 110/19

Hence,
5/1 plus 15/19 as a fraction is 110/19.

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5/1 + 15/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 15/19

What to be found?
(5/1)+(15/19) = ?
Find what's the sum of 5/1 and 15/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 19), find the product of numerator of Fraction B and denominator of Fraction A (15 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 19) and rewrite the equation as like the below:
= (5 x 19) + (15 x 1)/(1 x 19)

step 3 Simplify and rewrite the fraction:
= (95 + 15)/19
5/1 + 15/19 = 110/19

Hence,
5/1 plus 15/19 in fraction is 110/19