15/8 + 1/19 as a fraction

Learn how to find what is 15/8 plus 1/19 in fraction form just in a few minutes. We have covered the easiest method to write 15/8 + 1/19 as a fraction and decimal.

Summary: 15/8 plus 1/19 = 293/152
Since both fractions have unequal denominators, 15/8 plus 1/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 1/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 19. 152 is the LCM of 8 and 19. Multiplying the LCM 152 with the numerators and denominators of both fractions (15/8 x 152/152) + (1/19 x 152/152), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 285/152 and for 1/19 is 8/152. By simplifying this fraction addition 285/152 + 8/152, it becomes 293/152.

CALCULATION: 15/8 + 1/19 as a fraction
15/8 + 1/19 = (?)
15/8 + 1/19 = [(15 x 19) + (1 x 8)]/(8 x 19)
= (285 + 8)/152
= 293/152
15/8 + 1/19 = 293/152
15/8 plus 1/19 as a fraction is 293/152.

where
15/8 is a improper fraction as an addend,
1/19 is a proper fraction as an addend,
293/152 is the sum of 15/8 and 1/19.

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15/8 plus 1/19 as a decimal
15/8 + 1/19 = 293/152
293/152 = 1.9276
(15/8) + (1/19) as a decimal is 1.9276

where
1.9276 is the sum of 15/8 and 1/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/8 and 1/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/8 plus 1/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/8) + (1/19) using LCM Method:
What is 15/8 plus 1/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 1/19

What to be found?
(15/8) + (1/19) = ?
Find what's the sum of 15/8 and 1/19.

step 2 Compare the denominators of fractions 15/8 and 1/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/8 and 1/19 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 15/8 and 1/19:
The LCM of 8 and 19 is 152.

step 4 Write the fractions 15/8 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 + 1/19
= [(15 x 152)/(8 x 152)] + [(1 x 152)/(19 x 152)]

step 5 Simplify the expression to have common denominator:
= 285/152 + 8/152

step 6 Take the common values out and rewrite the above expression like the below:
= 1/152 x (285/1 + 8/1)
= 1/152 x (285 + 8)

step 7Simplify the above expression further:
= 1/152 x 293
= 293/152
15/8 + 1/19 = 293/152

Hence,
15/8 plus 1/19 as a fraction is 293/152.

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15/8 + 1/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 1/19

What to be found?
(15/8)+(1/19) = ?
Find what's the sum of 15/8 and 1/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 19), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 19) and rewrite the equation as like the below:
= (15 x 19) + (1 x 8)/(8 x 19)

step 3 Simplify and rewrite the fraction:
= (285 + 8)/152
15/8 + 1/19 = 293/152

Hence,
15/8 plus 1/19 in fraction is 293/152