5/4 - 17/13 as a fraction

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

Summary: 5/4 minus 17/13 = -3/52
Since both fractions have unequal denominators, 5/4 minus 17/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 17/13 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 (5/4 x 52/52) - (17/13 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 65/52 and for 17/13 is 68/52. By simplifying this fraction subtraction 65/52 - 68/52, it becomes -3/52.

CALCULATION: 5/4 - 17/13 as a fraction
5/4 - 17/13 = (?)
5/4 - 17/13 = [(5 x 13) - (17 x 4)]/(4 x 13)
= (65 - 68)/52
= -3/52
5/4 - 17/13 = -3/52
5/4 minus 17/13 as a fraction is -3/52.

where
5/4 is a improper fraction as a minuend,
17/13 is a improper fraction as a subtrahend,
-3/52 is the difference between 5/4 and 17/13.

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5/4 minus 17/13 as a decimal
5/4 - 17/13 = -3/52
-3/52 = -0.0577
(5/4) - (17/13) as a decimal is -0.0577

where
-0.0577 is the difference between 5/4 and 17/13.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 65/52 - 68/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (65/1 - 68/1)
= 1/52 x (65 - 68)

step 7Simplify the above expression further:
= 1/52 x -3
= -3/52
5/4 - 17/13 = -3/52

Hence,
5/4 minus 17/13 as a fraction is -3/52.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (5 x 13) - (17 x 4)/(4 x 13)

step 3 Simplify and rewrite the fraction:
= (65 - 68)/52
5/4 - 17/13 = -3/52

Hence,
5/4 minus 17/13 in fraction is -3/52