13/8 + 12/19 as a fraction

Learn how to find what is 13/8 plus 12/19 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 12/19 as a fraction and decimal.

Summary: 13/8 plus 12/19 = 343/152
Since both fractions have unequal denominators, 13/8 plus 12/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 12/19 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 (13/8 x 152/152) + (12/19 x 152/152), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 247/152 and for 12/19 is 96/152. By simplifying this fraction addition 247/152 + 96/152, it becomes 343/152.

CALCULATION: 13/8 + 12/19 as a fraction
13/8 + 12/19 = (?)
13/8 + 12/19 = [(13 x 19) + (12 x 8)]/(8 x 19)
= (247 + 96)/152
= 343/152
13/8 + 12/19 = 343/152
13/8 plus 12/19 as a fraction is 343/152.

where
13/8 is a improper fraction as an addend,
12/19 is a proper fraction as an addend,
343/152 is the sum of 13/8 and 12/19.

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13/8 plus 12/19 as a decimal
13/8 + 12/19 = 343/152
343/152 = 2.2566
(13/8) + (12/19) as a decimal is 2.2566

where
2.2566 is the sum of 13/8 and 12/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/8 and 12/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/8 plus 12/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/8) + (12/19) using LCM Method:
What is 13/8 plus 12/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 12/19

What to be found?
(13/8) + (12/19) = ?
Find what's the sum of 13/8 and 12/19.

step 2 Compare the denominators of fractions 13/8 and 12/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 12/19 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 13/8 and 12/19:
The LCM of 8 and 19 is 152.

step 4 Write the fractions 13/8 and 12/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 12/19
= [(13 x 152)/(8 x 152)] + [(12 x 152)/(19 x 152)]

step 5 Simplify the expression to have common denominator:
= 247/152 + 96/152

step 6 Take the common values out and rewrite the above expression like the below:
= 1/152 x (247/1 + 96/1)
= 1/152 x (247 + 96)

step 7Simplify the above expression further:
= 1/152 x 343
= 343/152
13/8 + 12/19 = 343/152

Hence,
13/8 plus 12/19 as a fraction is 343/152.

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13/8 + 12/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 12/19

What to be found?
(13/8)+(12/19) = ?
Find what's the sum of 13/8 and 12/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 19), find the product of numerator of Fraction B and denominator of Fraction A (12 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:
= (13 x 19) + (12 x 8)/(8 x 19)

step 3 Simplify and rewrite the fraction:
= (247 + 96)/152
13/8 + 12/19 = 343/152

Hence,
13/8 plus 12/19 in fraction is 343/152