5/4 - 8/19 as a fraction

Learn how to find what is 5/4 minus 8/19 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 - 8/19 as a fraction and decimal.

Summary: 5/4 minus 8/19 = 63/76
Since both fractions have unequal denominators, 5/4 minus 8/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 8/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 19. 76 is the LCM of 4 and 19. Multiplying the LCM 76 with the numerators and denominators of both fractions (5/4 x 76/76) - (8/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 95/76 and for 8/19 is 32/76. By simplifying this fraction subtraction 95/76 - 32/76, it becomes 63/76.

Pie Chart Representation: 5/4 - 8/19 = 63/76

CALCULATION: 5/4 - 8/19 as a fraction
5/4 - 8/19 = (?)
5/4 - 8/19 = [(5 x 19) - (8 x 4)]/(4 x 19)
= (95 - 32)/76
= 63/76
5/4 - 8/19 = 63/76
5/4 minus 8/19 as a fraction is 63/76.

where
5/4 is a improper fraction as a minuend,
8/19 is a proper fraction as a subtrahend,
63/76 is the difference between 5/4 and 8/19.

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5/4 minus 8/19 as a decimal
5/4 - 8/19 = 63/76
63/76 = 0.8289
(5/4) - (8/19) as a decimal is 0.8289

where
0.8289 is the difference between 5/4 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 5/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/4 minus 8/19.
1. LCM method
2. Cross multiplication method.

(5/4) - (8/19) using LCM Method:
What is 5/4 minus 8/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 8/19

What to be found?
(5/4) - (8/19) = ?
Find what's the difference between 5/4 and 8/19.

step 2 Compare the denominators of fractions 5/4 and 8/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 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 5/4 and 8/19:
The LCM of 4 and 19 is 76.

step 4 Write the fractions 5/4 and 8/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 - 8/19
= [(5 x 76)/(4 x 76)] - [(8 x 76)/(19 x 76)]

step 5 Simplify the expression to have common denominator:
= 95/76 - 32/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (95/1 - 32/1)
= 1/76 x (95 - 32)

step 7Simplify the above expression further:
= 1/76 x 63
= 63/76
5/4 - 8/19 = 63/76

Hence,
5/4 minus 8/19 as a fraction is 63/76.

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5/4 - 8/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 8/19

What to be found?
(5/4)-(8/19) = ?
Find what's the difference between 5/4 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 4), and find the product of both denominators of Fraction A and Fraction B (4 x 19) and rewrite the equation as like the below:
= (5 x 19) - (8 x 4)/(4 x 19)

step 3 Simplify and rewrite the fraction:
= (95 - 32)/76
5/4 - 8/19 = 63/76

Hence,
5/4 minus 8/19 in fraction is 63/76