8/1 - 5/4 as a fraction

Learn how to find what is 8/1 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 8/1 - 5/4 as a fraction and decimal.

Summary: 8/1 minus 5/4 = 27/4
Since both fractions have unequal denominators, 8/1 minus 5/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/1 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 4. 4 is the LCM of 1 and 4. Multiplying the LCM 4 with the numerators and denominators of both fractions (8/1 x 4/4) - (5/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 8/1 is 32/4 and for 5/4 is 5/4. By simplifying this fraction subtraction 32/4 - 5/4, it becomes 27/4.

CALCULATION: 8/1 - 5/4 as a fraction
8/1 - 5/4 = (?)
8/1 - 5/4 = [(8 x 4) - (5 x 1)]/(1 x 4)
= (32 - 5)/4
= 27/4
8/1 - 5/4 = 27/4
8/1 minus 5/4 as a fraction is 27/4.

where
8/1 is a improper fraction as a minuend,
5/4 is a improper fraction as a subtrahend,
27/4 is the difference between 8/1 and 5/4.

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8/1 minus 5/4 as a decimal
8/1 - 5/4 = 27/4
27/4 = 6.75
(8/1) - (5/4) as a decimal is 6.75

where
6.75 is the difference between 8/1 and 5/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/4 from 8/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/1 minus 5/4.
1. LCM method
2. Cross multiplication method.

(8/1) - (5/4) using LCM Method:
What is 8/1 minus 5/4 as a fraction?

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

What to be found?
(8/1) - (5/4) = ?
Find what's the difference between 8/1 and 5/4.

step 2 Compare the denominators of fractions 8/1 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/1 and 5/4 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 8/1 and 5/4:
The LCM of 1 and 4 is 4.

step 4 Write the fractions 8/1 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/1 - 5/4
= [(8 x 4)/(1 x 4)] - [(5 x 4)/(4 x 4)]

step 5 Simplify the expression to have common denominator:
= 32/4 - 5/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (32/1 - 5/1)
= 1/4 x (32 - 5)

step 7Simplify the above expression further:
= 1/4 x 27
= 27/4
8/1 - 5/4 = 27/4

Hence,
8/1 minus 5/4 as a fraction is 27/4.

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

What to be found?
(8/1)-(5/4) = ?
Find what's the difference between 8/1 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 4) and rewrite the equation as like the below:
= (8 x 4) - (5 x 1)/(1 x 4)

step 3 Simplify and rewrite the fraction:
= (32 - 5)/4
8/1 - 5/4 = 27/4

Hence,
8/1 minus 5/4 in fraction is 27/4