3/2 + 18/19 as a fraction

Learn how to find what is 3/2 plus 18/19 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 18/19 as a fraction and decimal.

Summary: 3/2 plus 18/19 = 93/38
Since both fractions have unequal denominators, 3/2 plus 18/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 18/19 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 (3/2 x 38/38) + (18/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 57/38 and for 18/19 is 36/38. By simplifying this fraction addition 57/38 + 36/38, it becomes 93/38.

CALCULATION: 3/2 + 18/19 as a fraction
3/2 + 18/19 = (?)
3/2 + 18/19 = [(3 x 19) + (18 x 2)]/(2 x 19)
= (57 + 36)/38
= 93/38
3/2 + 18/19 = 93/38
3/2 plus 18/19 as a fraction is 93/38.

where
3/2 is a improper fraction as an addend,
18/19 is a proper fraction as an addend,
93/38 is the sum of 3/2 and 18/19.

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3/2 plus 18/19 as a decimal
3/2 + 18/19 = 93/38
93/38 = 2.4474
(3/2) + (18/19) as a decimal is 2.4474

where
2.4474 is the sum of 3/2 and 18/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 18/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 18/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (18/19) using LCM Method:
What is 3/2 plus 18/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 18/19

What to be found?
(3/2) + (18/19) = ?
Find what's the sum of 3/2 and 18/19.

step 2 Compare the denominators of fractions 3/2 and 18/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 18/19 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 3/2 and 18/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 3/2 and 18/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 18/19
= [(3 x 38)/(2 x 38)] + [(18 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 57/38 + 36/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (57/1 + 36/1)
= 1/38 x (57 + 36)

step 7Simplify the above expression further:
= 1/38 x 93
= 93/38
3/2 + 18/19 = 93/38

Hence,
3/2 plus 18/19 as a fraction is 93/38.

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3/2 + 18/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 18/19

What to be found?
(3/2)+(18/19) = ?
Find what's the sum of 3/2 and 18/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 19), find the product of numerator of Fraction B and denominator of Fraction A (18 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:
= (3 x 19) + (18 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:
= (57 + 36)/38
3/2 + 18/19 = 93/38

Hence,
3/2 plus 18/19 in fraction is 93/38