9/5 - 11/3 as a fraction

Learn how to find what is 9/5 minus 11/3 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 - 11/3 as a fraction and decimal.

Summary: 9/5 minus 11/3 = -28/15
Since both fractions have unequal denominators, 9/5 minus 11/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/5 and fraction 11/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 3. 15 is the LCM of 5 and 3. Multiplying the LCM 15 with the numerators and denominators of both fractions (9/5 x 15/15) - (11/3 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 9/5 is 27/15 and for 11/3 is 55/15. By simplifying this fraction subtraction 27/15 - 55/15, it becomes -28/15.

CALCULATION: 9/5 - 11/3 as a fraction
9/5 - 11/3 = (?)
9/5 - 11/3 = [(9 x 3) - (11 x 5)]/(5 x 3)
= (27 - 55)/15
= -28/15
9/5 - 11/3 = -28/15
9/5 minus 11/3 as a fraction is -28/15.

where
9/5 is a improper fraction as a minuend,
11/3 is a improper fraction as a subtrahend,
-28/15 is the difference between 9/5 and 11/3.

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9/5 minus 11/3 as a decimal
9/5 - 11/3 = -28/15
-28/15 = -1.8667
(9/5) - (11/3) as a decimal is -1.8667

where
-1.8667 is the difference between 9/5 and 11/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/3 from 9/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/5 minus 11/3.
1. LCM method
2. Cross multiplication method.

(9/5) - (11/3) using LCM Method:
What is 9/5 minus 11/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 11/3

What to be found?
(9/5) - (11/3) = ?
Find what's the difference between 9/5 and 11/3.

step 2 Compare the denominators of fractions 9/5 and 11/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/5 and 11/3 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 9/5 and 11/3:
The LCM of 5 and 3 is 15.

step 4 Write the fractions 9/5 and 11/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/5 - 11/3
= [(9 x 15)/(5 x 15)] - [(11 x 15)/(3 x 15)]

step 5 Simplify the expression to have common denominator:
= 27/15 - 55/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (27/1 - 55/1)
= 1/15 x (27 - 55)

step 7Simplify the above expression further:
= 1/15 x -28
= -28/15
9/5 - 11/3 = -28/15

Hence,
9/5 minus 11/3 as a fraction is -28/15.

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9/5 - 11/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 11/3

What to be found?
(9/5)-(11/3) = ?
Find what's the difference between 9/5 and 11/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 3), find the product of numerator of Fraction B and denominator of Fraction A (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 3) and rewrite the equation as like the below:
= (9 x 3) - (11 x 5)/(5 x 3)

step 3 Simplify and rewrite the fraction:
= (27 - 55)/15
9/5 - 11/3 = -28/15

Hence,
9/5 minus 11/3 in fraction is -28/15