17/4 - 5/14 as a fraction

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

Summary: 17/4 minus 5/14 = 109/28
Since both fractions have unequal denominators, 17/4 minus 5/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 5/14 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 (17/4 x 28/28) - (5/14 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 119/28 and for 5/14 is 10/28. By simplifying this fraction subtraction 119/28 - 10/28, it becomes 109/28.

CALCULATION: 17/4 - 5/14 as a fraction
17/4 - 5/14 = (?)
17/4 - 5/14 = [(17 x 14) - (5 x 4)]/(4 x 14)
= (238 - 20)/56
= 218/56
= (2 x 109)/(2 x 28)
= 109/28
17/4 - 5/14 = 109/28
17/4 minus 5/14 as a fraction is 109/28.

where
17/4 is a improper fraction as a minuend,
5/14 is a proper fraction as a subtrahend,
109/28 is the difference between 17/4 and 5/14.

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17/4 minus 5/14 as a decimal
17/4 - 5/14 = 109/28
109/28 = 3.8929
(17/4) - (5/14) as a decimal is 3.8929

where
3.8929 is the difference between 17/4 and 5/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/14 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 5/14.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 119/28 - 10/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (119/1 - 10/1)
= 1/28 x (119 - 10)

step 7Simplify the above expression further:
= 1/28 x 109
= 109/28
17/4 - 5/14 = 109/28

Hence,
17/4 minus 5/14 as a fraction is 109/28.

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

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

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

step 3 Simplify and rewrite the fraction:
= (238 - 20)/56
= 218/56
= 109/28
17/4 - 5/14 = 109/28

Hence,
17/4 minus 5/14 in fraction is 109/28