7/2 + 12/19 as a fraction

Learn how to find what is 7/2 plus 12/19 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 + 12/19 as a fraction and decimal.

Summary: 7/2 plus 12/19 = 157/38
Since both fractions have unequal denominators, 7/2 plus 12/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 12/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 19. 38 is the LCM of 2 and 19. Multiplying the LCM 38 with the numerators and denominators of both fractions (7/2 x 38/38) + (12/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 133/38 and for 12/19 is 24/38. By simplifying this fraction addition 133/38 + 24/38, it becomes 157/38.

CALCULATION: 7/2 + 12/19 as a fraction
7/2 + 12/19 = (?)
7/2 + 12/19 = [(7 x 19) + (12 x 2)]/(2 x 19)
= (133 + 24)/38
= 157/38
7/2 + 12/19 = 157/38
7/2 plus 12/19 as a fraction is 157/38.

where
7/2 is a improper fraction as an addend,
12/19 is a proper fraction as an addend,
157/38 is the sum of 7/2 and 12/19.

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7/2 plus 12/19 as a decimal
7/2 + 12/19 = 157/38
157/38 = 4.1316
(7/2) + (12/19) as a decimal is 4.1316

where
4.1316 is the sum of 7/2 and 12/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/2 and 12/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/2 plus 12/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/2) + (12/19) using LCM Method:
What is 7/2 plus 12/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 12/19

What to be found?
(7/2) + (12/19) = ?
Find what's the sum of 7/2 and 12/19.

step 2 Compare the denominators of fractions 7/2 and 12/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/2 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 7/2 and 12/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 7/2 and 12/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 + 12/19
= [(7 x 38)/(2 x 38)] + [(12 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 133/38 + 24/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (133/1 + 24/1)
= 1/38 x (133 + 24)

step 7Simplify the above expression further:
= 1/38 x 157
= 157/38
7/2 + 12/19 = 157/38

Hence,
7/2 plus 12/19 as a fraction is 157/38.

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7/2 + 12/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 12/19

What to be found?
(7/2)+(12/19) = ?
Find what's the sum of 7/2 and 12/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 19), find the product of numerator of Fraction B and denominator of Fraction A (12 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 19) and rewrite the equation as like the below:
= (7 x 19) + (12 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:
= (133 + 24)/38
7/2 + 12/19 = 157/38

Hence,
7/2 plus 12/19 in fraction is 157/38