5/4 - 15/11 as a fraction

Learn how to find what is 5/4 minus 15/11 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 - 15/11 as a fraction and decimal.

Summary: 5/4 minus 15/11 = -5/44
Since both fractions have unequal denominators, 5/4 minus 15/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 15/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 11. 44 is the LCM of 4 and 11. Multiplying the LCM 44 with the numerators and denominators of both fractions (5/4 x 44/44) - (15/11 x 44/44), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 55/44 and for 15/11 is 60/44. By simplifying this fraction subtraction 55/44 - 60/44, it becomes -5/44.

CALCULATION: 5/4 - 15/11 as a fraction
5/4 - 15/11 = (?)
5/4 - 15/11 = [(5 x 11) - (15 x 4)]/(4 x 11)
= (55 - 60)/44
= -5/44
5/4 - 15/11 = -5/44
5/4 minus 15/11 as a fraction is -5/44.

where
5/4 is a improper fraction as a minuend,
15/11 is a improper fraction as a subtrahend,
-5/44 is the difference between 5/4 and 15/11.

---

5/4 minus 15/11 as a decimal
5/4 - 15/11 = -5/44
-5/44 = -0.1136
(5/4) - (15/11) as a decimal is -0.1136

where
-0.1136 is the difference between 5/4 and 15/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/11 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 15/11.
1. LCM method
2. Cross multiplication method.

(5/4) - (15/11) using LCM Method:
What is 5/4 minus 15/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 15/11

What to be found?
(5/4) - (15/11) = ?
Find what's the difference between 5/4 and 15/11.

step 2 Compare the denominators of fractions 5/4 and 15/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 and 15/11 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 15/11:
The LCM of 4 and 11 is 44.

step 4 Write the fractions 5/4 and 15/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 - 15/11
= [(5 x 44)/(4 x 44)] - [(15 x 44)/(11 x 44)]

step 5 Simplify the expression to have common denominator:
= 55/44 - 60/44

step 6 Take the common values out and rewrite the above expression like the below:
= 1/44 x (55/1 - 60/1)
= 1/44 x (55 - 60)

step 7Simplify the above expression further:
= 1/44 x -5
= -5/44
5/4 - 15/11 = -5/44

Hence,
5/4 minus 15/11 as a fraction is -5/44.

---

5/4 - 15/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 15/11

What to be found?
(5/4)-(15/11) = ?
Find what's the difference between 5/4 and 15/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (15 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 11) and rewrite the equation as like the below:
= (5 x 11) - (15 x 4)/(4 x 11)

step 3 Simplify and rewrite the fraction:
= (55 - 60)/44
5/4 - 15/11 = -5/44

Hence,
5/4 minus 15/11 in fraction is -5/44