17/4 - 5/13 as a fraction

Learn how to find what is 17/4 minus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 - 5/13 as a fraction and decimal.

Summary: 17/4 minus 5/13 = 201/52
Since both fractions have unequal denominators, 17/4 minus 5/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 5/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 13. 52 is the LCM of 4 and 13. Multiplying the LCM 52 with the numerators and denominators of both fractions (17/4 x 52/52) - (5/13 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 221/52 and for 5/13 is 20/52. By simplifying this fraction subtraction 221/52 - 20/52, it becomes 201/52.

CALCULATION: 17/4 - 5/13 as a fraction
17/4 - 5/13 = (?)
17/4 - 5/13 = [(17 x 13) - (5 x 4)]/(4 x 13)
= (221 - 20)/52
= 201/52
17/4 - 5/13 = 201/52
17/4 minus 5/13 as a fraction is 201/52.

where
17/4 is a improper fraction as a minuend,
5/13 is a proper fraction as a subtrahend,
201/52 is the difference between 17/4 and 5/13.

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17/4 minus 5/13 as a decimal
17/4 - 5/13 = 201/52
201/52 = 3.8654
(17/4) - (5/13) as a decimal is 3.8654

where
3.8654 is the difference between 17/4 and 5/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/13 from 17/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/4 minus 5/13.
1. LCM method
2. Cross multiplication method.

(17/4) - (5/13) using LCM Method:
What is 17/4 minus 5/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 5/13

What to be found?
(17/4) - (5/13) = ?
Find what's the difference between 17/4 and 5/13.

step 2 Compare the denominators of fractions 17/4 and 5/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/4 and 5/13 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 17/4 and 5/13:
The LCM of 4 and 13 is 52.

step 4 Write the fractions 17/4 and 5/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 - 5/13
= [(17 x 52)/(4 x 52)] - [(5 x 52)/(13 x 52)]

step 5 Simplify the expression to have common denominator:
= 221/52 - 20/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (221/1 - 20/1)
= 1/52 x (221 - 20)

step 7Simplify the above expression further:
= 1/52 x 201
= 201/52
17/4 - 5/13 = 201/52

Hence,
17/4 minus 5/13 as a fraction is 201/52.

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17/4 - 5/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 5/13

What to be found?
(17/4)-(5/13) = ?
Find what's the difference between 17/4 and 5/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 13), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 13) and rewrite the equation as like the below:
= (17 x 13) - (5 x 4)/(4 x 13)

step 3 Simplify and rewrite the fraction:
= (221 - 20)/52
17/4 - 5/13 = 201/52

Hence,
17/4 minus 5/13 in fraction is 201/52