13/9 - 5/4 as a fraction

Learn how to find what is 13/9 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 13/9 - 5/4 as a fraction and decimal.

Summary: 13/9 minus 5/4 = 7/36
Since both fractions have unequal denominators, 13/9 minus 5/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/9 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 4. 36 is the LCM of 9 and 4. Multiplying the LCM 36 with the numerators and denominators of both fractions (13/9 x 36/36) - (5/4 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 13/9 is 52/36 and for 5/4 is 45/36. By simplifying this fraction subtraction 52/36 - 45/36, it becomes 7/36.

Pie Chart Representation: 13/9 - 5/4 = 7/36

CALCULATION: 13/9 - 5/4 as a fraction
13/9 - 5/4 = (?)
13/9 - 5/4 = [(13 x 4) - (5 x 9)]/(9 x 4)
= (52 - 45)/36
= 7/36
13/9 - 5/4 = 7/36
13/9 minus 5/4 as a fraction is 7/36.

where
13/9 is a improper fraction as a minuend,
5/4 is a improper fraction as a subtrahend,
7/36 is the difference between 13/9 and 5/4.

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13/9 minus 5/4 as a decimal
13/9 - 5/4 = 7/36
7/36 = 0.1944
(13/9) - (5/4) as a decimal is 0.1944

where
0.1944 is the difference between 13/9 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 13/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/9 minus 5/4.
1. LCM method
2. Cross multiplication method.

(13/9) - (5/4) using LCM Method:
What is 13/9 minus 5/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 5/4

What to be found?
(13/9) - (5/4) = ?
Find what's the difference between 13/9 and 5/4.

step 2 Compare the denominators of fractions 13/9 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/9 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 13/9 and 5/4:
The LCM of 9 and 4 is 36.

step 4 Write the fractions 13/9 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/9 - 5/4
= [(13 x 36)/(9 x 36)] - [(5 x 36)/(4 x 36)]

step 5 Simplify the expression to have common denominator:
= 52/36 - 45/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (52/1 - 45/1)
= 1/36 x (52 - 45)

step 7Simplify the above expression further:
= 1/36 x 7
= 7/36
13/9 - 5/4 = 7/36

Hence,
13/9 minus 5/4 as a fraction is 7/36.

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13/9 - 5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 5/4

What to be found?
(13/9)-(5/4) = ?
Find what's the difference between 13/9 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 4) and rewrite the equation as like the below:
= (13 x 4) - (5 x 9)/(9 x 4)

step 3 Simplify and rewrite the fraction:
= (52 - 45)/36
13/9 - 5/4 = 7/36

Hence,
13/9 minus 5/4 in fraction is 7/36