5/4 - 11/2 as a fraction

Learn how to find what is 5/4 minus 11/2 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 - 11/2 as a fraction and decimal.

Summary: 5/4 minus 11/2 = -17/4
Since both fractions have unequal denominators, 5/4 minus 11/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 11/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 2. 4 is the LCM of 4 and 2. Multiplying the LCM 4 with the numerators and denominators of both fractions (5/4 x 4/4) - (11/2 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 5/4 and for 11/2 is 22/4. By simplifying this fraction subtraction 5/4 - 22/4, it becomes -17/4.

CALCULATION: 5/4 - 11/2 as a fraction
5/4 - 11/2 = (?)
5/4 - 11/2 = [(5 x 2) - (11 x 4)]/(4 x 2)
= (10 - 44)/8
= -34/8
= (2 x -17)/(2 x 4)
= -17/4
5/4 - 11/2 = -17/4
5/4 minus 11/2 as a fraction is -17/4.

where
5/4 is a improper fraction as a minuend,
11/2 is a improper fraction as a subtrahend,
-17/4 is the difference between 5/4 and 11/2.

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5/4 minus 11/2 as a decimal
5/4 - 11/2 = -17/4
-17/4 = -4.25
(5/4) - (11/2) as a decimal is -4.25

where
-4.25 is the difference between 5/4 and 11/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/2 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 11/2.
1. LCM method
2. Cross multiplication method.

(5/4) - (11/2) using LCM Method:
What is 5/4 minus 11/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 11/2

What to be found?
(5/4) - (11/2) = ?
Find what's the difference between 5/4 and 11/2.

step 2 Compare the denominators of fractions 5/4 and 11/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 and 11/2 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 11/2:
The LCM of 4 and 2 is 4.

step 4 Write the fractions 5/4 and 11/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 - 11/2
= [(5 x 4)/(4 x 4)] - [(11 x 4)/(2 x 4)]

step 5 Simplify the expression to have common denominator:
= 5/4 - 22/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (5/1 - 22/1)
= 1/4 x (5 - 22)

step 7Simplify the above expression further:
= 1/4 x -17
= -17/4
5/4 - 11/2 = -17/4

Hence,
5/4 minus 11/2 as a fraction is -17/4.

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5/4 - 11/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 11/2

What to be found?
(5/4)-(11/2) = ?
Find what's the difference between 5/4 and 11/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 2), find the product of numerator of Fraction B and denominator of Fraction A (11 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 2) and rewrite the equation as like the below:
= (5 x 2) - (11 x 4)/(4 x 2)

step 3 Simplify and rewrite the fraction:
= (10 - 44)/8
= -34/8
= -17/4
5/4 - 11/2 = -17/4

Hence,
5/4 minus 11/2 in fraction is -17/4