5/4 - 17/14 as a fraction

Learn how to find what is 5/4 minus 17/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 - 17/14 as a fraction and decimal.

Summary: 5/4 minus 17/14 = 1/28
Since both fractions have unequal denominators, 5/4 minus 17/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 17/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 14. 28 is the LCM of 4 and 14. Multiplying the LCM 28 with the numerators and denominators of both fractions (5/4 x 28/28) - (17/14 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 35/28 and for 17/14 is 34/28. By simplifying this fraction subtraction 35/28 - 34/28, it becomes 1/28.

Pie Chart Representation: 5/4 - 17/14 = 1/28

CALCULATION: 5/4 - 17/14 as a fraction
5/4 - 17/14 = (?)
5/4 - 17/14 = [(5 x 14) - (17 x 4)]/(4 x 14)
= (70 - 68)/56
= 2/56
= (2 x 1)/(2 x 28)
= 1/28
5/4 - 17/14 = 1/28
5/4 minus 17/14 as a fraction is 1/28.

where
5/4 is a improper fraction as a minuend,
17/14 is a improper fraction as a subtrahend,
1/28 is the difference between 5/4 and 17/14.

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5/4 minus 17/14 as a decimal
5/4 - 17/14 = 1/28
1/28 = 0.0357
(5/4) - (17/14) as a decimal is 0.0357

where
0.0357 is the difference between 5/4 and 17/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/14 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 17/14.
1. LCM method
2. Cross multiplication method.

(5/4) - (17/14) using LCM Method:
What is 5/4 minus 17/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 17/14

What to be found?
(5/4) - (17/14) = ?
Find what's the difference between 5/4 and 17/14.

step 2 Compare the denominators of fractions 5/4 and 17/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 and 17/14 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 17/14:
The LCM of 4 and 14 is 28.

step 4 Write the fractions 5/4 and 17/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 - 17/14
= [(5 x 28)/(4 x 28)] - [(17 x 28)/(14 x 28)]

step 5 Simplify the expression to have common denominator:
= 35/28 - 34/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (35/1 - 34/1)
= 1/28 x (35 - 34)

step 7Simplify the above expression further:
= 1/28 x 1
= 1/28
5/4 - 17/14 = 1/28

Hence,
5/4 minus 17/14 as a fraction is 1/28.

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5/4 - 17/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 17/14

What to be found?
(5/4)-(17/14) = ?
Find what's the difference between 5/4 and 17/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 14), 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 14) and rewrite the equation as like the below:
= (5 x 14) - (17 x 4)/(4 x 14)

step 3 Simplify and rewrite the fraction:
= (70 - 68)/56
= 2/56
= 1/28
5/4 - 17/14 = 1/28

Hence,
5/4 minus 17/14 in fraction is 1/28