17/14 - 11/17 as a fraction

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

Summary: 17/14 minus 11/17 = 135/238
Since both fractions have unequal denominators, 17/14 minus 11/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/14 and fraction 11/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 14 and 17. 238 is the LCM of 14 and 17. Multiplying the LCM 238 with the numerators and denominators of both fractions (17/14 x 238/238) - (11/17 x 238/238), and simplify further in order to have the common denominator. So the equivalent fraction for 17/14 is 289/238 and for 11/17 is 154/238. By simplifying this fraction subtraction 289/238 - 154/238, it becomes 135/238.

Pie Chart Representation: 17/14 - 11/17 = 135/238

CALCULATION: 17/14 - 11/17 as a fraction
17/14 - 11/17 = (?)
17/14 - 11/17 = [(17 x 17) - (11 x 14)]/(14 x 17)
= (289 - 154)/238
= 135/238
17/14 - 11/17 = 135/238
17/14 minus 11/17 as a fraction is 135/238.

where
17/14 is a improper fraction as a minuend,
11/17 is a proper fraction as a subtrahend,
135/238 is the difference between 17/14 and 11/17.

---

17/14 minus 11/17 as a decimal
17/14 - 11/17 = 135/238
135/238 = 0.5672
(17/14) - (11/17) as a decimal is 0.5672

where
0.5672 is the difference between 17/14 and 11/17.

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

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

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

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

step 2 Compare the denominators of fractions 17/14 and 11/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/14 and 11/17 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 17/14 and 11/17:
The LCM of 14 and 17 is 238.

step 4 Write the fractions 17/14 and 11/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/14 - 11/17
= [(17 x 238)/(14 x 238)] - [(11 x 238)/(17 x 238)]

step 5 Simplify the expression to have common denominator:
= 289/238 - 154/238

step 6 Take the common values out and rewrite the above expression like the below:
= 1/238 x (289/1 - 154/1)
= 1/238 x (289 - 154)

step 7Simplify the above expression further:
= 1/238 x 135
= 135/238
17/14 - 11/17 = 135/238

Hence,
17/14 minus 11/17 as a fraction is 135/238.

---

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

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

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

step 3 Simplify and rewrite the fraction:
= (289 - 154)/238
17/14 - 11/17 = 135/238

Hence,
17/14 minus 11/17 in fraction is 135/238