17/18 - 14/11 as a fraction

Learn how to find what is 17/18 minus 14/11 in fraction form just in a few minutes. We have covered the easiest method to write 17/18 - 14/11 as a fraction and decimal.

Summary: 17/18 minus 14/11 = -65/198
Since both fractions have unequal denominators, 17/18 minus 14/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/18 and fraction 14/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 18 and 11. 198 is the LCM of 18 and 11. Multiplying the LCM 198 with the numerators and denominators of both fractions (17/18 x 198/198) - (14/11 x 198/198), and simplify further in order to have the common denominator. So the equivalent fraction for 17/18 is 187/198 and for 14/11 is 252/198. By simplifying this fraction subtraction 187/198 - 252/198, it becomes -65/198.

CALCULATION: 17/18 - 14/11 as a fraction
17/18 - 14/11 = (?)
17/18 - 14/11 = [(17 x 11) - (14 x 18)]/(18 x 11)
= (187 - 252)/198
= -65/198
17/18 - 14/11 = -65/198
17/18 minus 14/11 as a fraction is -65/198.

where
17/18 is a proper fraction as a minuend,
14/11 is a improper fraction as a subtrahend,
-65/198 is the difference between 17/18 and 14/11.

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17/18 minus 14/11 as a decimal
17/18 - 14/11 = -65/198
-65/198 = -0.3283
(17/18) - (14/11) as a decimal is -0.3283

where
-0.3283 is the difference between 17/18 and 14/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 14/11 from 17/18. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/18 minus 14/11.
1. LCM method
2. Cross multiplication method.

(17/18) - (14/11) using LCM Method:
What is 17/18 minus 14/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/18
Fraction B: 14/11

What to be found?
(17/18) - (14/11) = ?
Find what's the difference between 17/18 and 14/11.

step 2 Compare the denominators of fractions 17/18 and 14/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/18 and 14/11 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 17/18 and 14/11:
The LCM of 18 and 11 is 198.

step 4 Write the fractions 17/18 and 14/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/18 - 14/11
= [(17 x 198)/(18 x 198)] - [(14 x 198)/(11 x 198)]

step 5 Simplify the expression to have common denominator:
= 187/198 - 252/198

step 6 Take the common values out and rewrite the above expression like the below:
= 1/198 x (187/1 - 252/1)
= 1/198 x (187 - 252)

step 7Simplify the above expression further:
= 1/198 x -65
= -65/198
17/18 - 14/11 = -65/198

Hence,
17/18 minus 14/11 as a fraction is -65/198.

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17/18 - 14/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/18
Fraction B: 14/11

What to be found?
(17/18)-(14/11) = ?
Find what's the difference between 17/18 and 14/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 11), find the product of numerator of Fraction B and denominator of Fraction A (14 x 18), and find the product of both denominators of Fraction A and Fraction B (18 x 11) and rewrite the equation as like the below:
= (17 x 11) - (14 x 18)/(18 x 11)

step 3 Simplify and rewrite the fraction:
= (187 - 252)/198
17/18 - 14/11 = -65/198

Hence,
17/18 minus 14/11 in fraction is -65/198