9/5 - 9/13 as a fraction

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

Summary: 9/5 minus 9/13 = 72/65
Since both fractions have unequal denominators, 9/5 minus 9/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/5 and fraction 9/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 13. 65 is the LCM of 5 and 13. Multiplying the LCM 65 with the numerators and denominators of both fractions (9/5 x 65/65) - (9/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 9/5 is 117/65 and for 9/13 is 45/65. By simplifying this fraction subtraction 117/65 - 45/65, it becomes 72/65.

CALCULATION: 9/5 - 9/13 as a fraction
9/5 - 9/13 = (?)
9/5 - 9/13 = [(9 x 13) - (9 x 5)]/(5 x 13)
= (117 - 45)/65
= 72/65
9/5 - 9/13 = 72/65
9/5 minus 9/13 as a fraction is 72/65.

where
9/5 is a improper fraction as a minuend,
9/13 is a proper fraction as a subtrahend,
72/65 is the difference between 9/5 and 9/13.

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9/5 minus 9/13 as a decimal
9/5 - 9/13 = 72/65
72/65 = 1.1077
(9/5) - (9/13) as a decimal is 1.1077

where
1.1077 is the difference between 9/5 and 9/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/13 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 9/13.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 9/5 and 9/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/5 and 9/13 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 9/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 9/5 and 9/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/5 - 9/13
= [(9 x 65)/(5 x 65)] - [(9 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 117/65 - 45/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (117/1 - 45/1)
= 1/65 x (117 - 45)

step 7Simplify the above expression further:
= 1/65 x 72
= 72/65
9/5 - 9/13 = 72/65

Hence,
9/5 minus 9/13 as a fraction is 72/65.

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

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

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

step 3 Simplify and rewrite the fraction:
= (117 - 45)/65
9/5 - 9/13 = 72/65

Hence,
9/5 minus 9/13 in fraction is 72/65