13/6 - 9/2 as a fraction

Learn how to find what is 13/6 minus 9/2 in fraction form just in a few minutes. We have covered the easiest method to write 13/6 - 9/2 as a fraction and decimal.

Summary: 13/6 minus 9/2 = -7/3
Since both fractions have unequal denominators, 13/6 minus 9/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/6 and fraction 9/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 2. 6 is the LCM of 6 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (13/6 x 6/6) - (9/2 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 13/6 is 13/6 and for 9/2 is 27/6. By simplifying this fraction subtraction 13/6 - 27/6, it becomes -14/6.

CALCULATION: 13/6 - 9/2 as a fraction
13/6 - 9/2 = (?)
13/6 - 9/2 = [(13 x 2) - (9 x 6)]/(6 x 2)
= (26 - 54)/12
= -28/12
= (4 x -7)/(4 x 3)
= -7/3
13/6 - 9/2 = -7/3
13/6 minus 9/2 as a fraction is -7/3.

where
13/6 is a improper fraction as a minuend,
9/2 is a improper fraction as a subtrahend,
-7/3 is the difference between 13/6 and 9/2.

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13/6 minus 9/2 as a decimal
13/6 - 9/2 = -7/3
-7/3 = -2.3333
(13/6) - (9/2) as a decimal is -2.3333

where
-2.3333 is the difference between 13/6 and 9/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/2 from 13/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/6 minus 9/2.
1. LCM method
2. Cross multiplication method.

(13/6) - (9/2) using LCM Method:
What is 13/6 minus 9/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 9/2

What to be found?
(13/6) - (9/2) = ?
Find what's the difference between 13/6 and 9/2.

step 2 Compare the denominators of fractions 13/6 and 9/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/6 and 9/2 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 13/6 and 9/2:
The LCM of 6 and 2 is 6.

step 4 Write the fractions 13/6 and 9/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/6 - 9/2
= [(13 x 6)/(6 x 6)] - [(9 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 13/6 - 27/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (13/1 - 27/1)
= 1/6 x (13 - 27)

step 7Simplify the above expression further:
= 1/6 x -14
= -14/6
= -7/3
13/6 - 9/2 = -7/3

Hence,
13/6 minus 9/2 as a fraction is -7/3.

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13/6 - 9/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 9/2

What to be found?
(13/6)-(9/2) = ?
Find what's the difference between 13/6 and 9/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 2), find the product of numerator of Fraction B and denominator of Fraction A (9 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 2) and rewrite the equation as like the below:
= (13 x 2) - (9 x 6)/(6 x 2)

step 3 Simplify and rewrite the fraction:
= (26 - 54)/12
= -28/12
= -7/3
13/6 - 9/2 = -7/3

Hence,
13/6 minus 9/2 in fraction is -7/3