17/6 - 5/14 as a fraction

Learn how to find what is 17/6 minus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 5/14 as a fraction and decimal.

Summary: 17/6 minus 5/14 = 52/21
Since both fractions have unequal denominators, 17/6 minus 5/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 5/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 14. 42 is the LCM of 6 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (17/6 x 42/42) - (5/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 119/42 and for 5/14 is 15/42. By simplifying this fraction subtraction 119/42 - 15/42, it becomes 104/42.

CALCULATION: 17/6 - 5/14 as a fraction
17/6 - 5/14 = (?)
17/6 - 5/14 = [(17 x 14) - (5 x 6)]/(6 x 14)
= (238 - 30)/84
= 208/84
= (4 x 52)/(4 x 21)
= 52/21
17/6 - 5/14 = 52/21
17/6 minus 5/14 as a fraction is 52/21.

where
17/6 is a improper fraction as a minuend,
5/14 is a proper fraction as a subtrahend,
52/21 is the difference between 17/6 and 5/14.

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17/6 minus 5/14 as a decimal
17/6 - 5/14 = 52/21
52/21 = 2.4762
(17/6) - (5/14) as a decimal is 2.4762

where
2.4762 is the difference between 17/6 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 17/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/6 minus 5/14.
1. LCM method
2. Cross multiplication method.

(17/6) - (5/14) using LCM Method:
What is 17/6 minus 5/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 5/14

What to be found?
(17/6) - (5/14) = ?
Find what's the difference between 17/6 and 5/14.

step 2 Compare the denominators of fractions 17/6 and 5/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/6 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 17/6 and 5/14:
The LCM of 6 and 14 is 42.

step 4 Write the fractions 17/6 and 5/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 5/14
= [(17 x 42)/(6 x 42)] - [(5 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 119/42 - 15/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (119/1 - 15/1)
= 1/42 x (119 - 15)

step 7Simplify the above expression further:
= 1/42 x 104
= 104/42
= 52/21
17/6 - 5/14 = 52/21

Hence,
17/6 minus 5/14 as a fraction is 52/21.

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17/6 - 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 5/14

What to be found?
(17/6)-(5/14) = ?
Find what's the difference between 17/6 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 6), and find the product of both denominators of Fraction A and Fraction B (6 x 14) and rewrite the equation as like the below:
= (17 x 14) - (5 x 6)/(6 x 14)

step 3 Simplify and rewrite the fraction:
= (238 - 30)/84
= 208/84
= 52/21
17/6 - 5/14 = 52/21

Hence,
17/6 minus 5/14 in fraction is 52/21