5/2 - 8/19 as a fraction

Learn how to find what is 5/2 minus 8/19 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 8/19 as a fraction and decimal.

Summary: 5/2 minus 8/19 = 79/38
Since both fractions have unequal denominators, 5/2 minus 8/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 8/19 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 (5/2 x 38/38) - (8/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 95/38 and for 8/19 is 16/38. By simplifying this fraction subtraction 95/38 - 16/38, it becomes 79/38.

CALCULATION: 5/2 - 8/19 as a fraction
5/2 - 8/19 = (?)
5/2 - 8/19 = [(5 x 19) - (8 x 2)]/(2 x 19)
= (95 - 16)/38
= 79/38
5/2 - 8/19 = 79/38
5/2 minus 8/19 as a fraction is 79/38.

where
5/2 is a improper fraction as a minuend,
8/19 is a proper fraction as a subtrahend,
79/38 is the difference between 5/2 and 8/19.

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5/2 minus 8/19 as a decimal
5/2 - 8/19 = 79/38
79/38 = 2.0789
(5/2) - (8/19) as a decimal is 2.0789

where
2.0789 is the difference between 5/2 and 8/19.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/19 from 5/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/2 minus 8/19.
1. LCM method
2. Cross multiplication method.

(5/2) - (8/19) using LCM Method:
What is 5/2 minus 8/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 8/19

What to be found?
(5/2) - (8/19) = ?
Find what's the difference between 5/2 and 8/19.

step 2 Compare the denominators of fractions 5/2 and 8/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 and 8/19 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 5/2 and 8/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 5/2 and 8/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 - 8/19
= [(5 x 38)/(2 x 38)] - [(8 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 95/38 - 16/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (95/1 - 16/1)
= 1/38 x (95 - 16)

step 7Simplify the above expression further:
= 1/38 x 79
= 79/38
5/2 - 8/19 = 79/38

Hence,
5/2 minus 8/19 as a fraction is 79/38.

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5/2 - 8/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 8/19

What to be found?
(5/2)-(8/19) = ?
Find what's the difference between 5/2 and 8/19.

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 (8 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:
= (5 x 19) - (8 x 2)/(2 x 19)

step 3 Simplify and rewrite the fraction:
= (95 - 16)/38
5/2 - 8/19 = 79/38

Hence,
5/2 minus 8/19 in fraction is 79/38