1/3 - 17/11 as a fraction

Learn how to find what is 1/3 minus 17/11 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 17/11 as a fraction and decimal.

Summary: 1/3 minus 17/11 = -40/33
Since both fractions have unequal denominators, 1/3 minus 17/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 17/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 11. 33 is the LCM of 3 and 11. Multiplying the LCM 33 with the numerators and denominators of both fractions (1/3 x 33/33) - (17/11 x 33/33), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 11/33 and for 17/11 is 51/33. By simplifying this fraction subtraction 11/33 - 51/33, it becomes -40/33.

CALCULATION: 1/3 - 17/11 as a fraction
1/3 - 17/11 = (?)
1/3 - 17/11 = [(1 x 11) - (17 x 3)]/(3 x 11)
= (11 - 51)/33
= -40/33
1/3 - 17/11 = -40/33
1/3 minus 17/11 as a fraction is -40/33.

where
1/3 is a proper fraction as a minuend,
17/11 is a improper fraction as a subtrahend,
-40/33 is the difference between 1/3 and 17/11.

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1/3 minus 17/11 as a decimal
1/3 - 17/11 = -40/33
-40/33 = -1.2121
(1/3) - (17/11) as a decimal is -1.2121

where
-1.2121 is the difference between 1/3 and 17/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/11 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 17/11.
1. LCM method
2. Cross multiplication method.

(1/3) - (17/11) using LCM Method:
What is 1/3 minus 17/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 17/11

What to be found?
(1/3) - (17/11) = ?
Find what's the difference between 1/3 and 17/11.

step 2 Compare the denominators of fractions 1/3 and 17/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 17/11 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 1/3 and 17/11:
The LCM of 3 and 11 is 33.

step 4 Write the fractions 1/3 and 17/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 17/11
= [(1 x 33)/(3 x 33)] - [(17 x 33)/(11 x 33)]

step 5 Simplify the expression to have common denominator:
= 11/33 - 51/33

step 6 Take the common values out and rewrite the above expression like the below:
= 1/33 x (11/1 - 51/1)
= 1/33 x (11 - 51)

step 7Simplify the above expression further:
= 1/33 x -40
= -40/33
1/3 - 17/11 = -40/33

Hence,
1/3 minus 17/11 as a fraction is -40/33.

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1/3 - 17/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 17/11

What to be found?
(1/3)-(17/11) = ?
Find what's the difference between 1/3 and 17/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), find the product of numerator of Fraction B and denominator of Fraction A (17 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
= (1 x 11) - (17 x 3)/(3 x 11)

step 3 Simplify and rewrite the fraction:
= (11 - 51)/33
1/3 - 17/11 = -40/33

Hence,
1/3 minus 17/11 in fraction is -40/33