1/6 - 17/3 as a fraction

Learn how to find what is 1/6 minus 17/3 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 17/3 as a fraction and decimal.

Summary: 1/6 minus 17/3 = -11/2
Since both fractions have unequal denominators, 1/6 minus 17/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 17/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 3. 6 is the LCM of 6 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (1/6 x 6/6) - (17/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 1/6 and for 17/3 is 34/6. By simplifying this fraction subtraction 1/6 - 34/6, it becomes -33/6.

CALCULATION: 1/6 - 17/3 as a fraction
1/6 - 17/3 = (?)
1/6 - 17/3 = [(1 x 3) - (17 x 6)]/(6 x 3)
= (3 - 102)/18
= -99/18
= (9 x -11)/(9 x 2)
= -11/2
1/6 - 17/3 = -11/2
1/6 minus 17/3 as a fraction is -11/2.

where
1/6 is a proper fraction as a minuend,
17/3 is a improper fraction as a subtrahend,
-11/2 is the difference between 1/6 and 17/3.

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1/6 minus 17/3 as a decimal
1/6 - 17/3 = -11/2
-11/2 = -5.5
(1/6) - (17/3) as a decimal is -5.5

where
-5.5 is the difference between 1/6 and 17/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/3 from 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 17/3.
1. LCM method
2. Cross multiplication method.

(1/6) - (17/3) using LCM Method:
What is 1/6 minus 17/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 17/3

What to be found?
(1/6) - (17/3) = ?
Find what's the difference between 1/6 and 17/3.

step 2 Compare the denominators of fractions 1/6 and 17/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 17/3 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 1/6 and 17/3:
The LCM of 6 and 3 is 6.

step 4 Write the fractions 1/6 and 17/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 17/3
= [(1 x 6)/(6 x 6)] - [(17 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 1/6 - 34/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (1/1 - 34/1)
= 1/6 x (1 - 34)

step 7Simplify the above expression further:
= 1/6 x -33
= -33/6
= -11/2
1/6 - 17/3 = -11/2

Hence,
1/6 minus 17/3 as a fraction is -11/2.

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1/6 - 17/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 17/3

What to be found?
(1/6)-(17/3) = ?
Find what's the difference between 1/6 and 17/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), find the product of numerator of Fraction B and denominator of Fraction A (17 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 3) and rewrite the equation as like the below:
= (1 x 3) - (17 x 6)/(6 x 3)

step 3 Simplify and rewrite the fraction:
= (3 - 102)/18
= -99/18
= -11/2
1/6 - 17/3 = -11/2

Hence,
1/6 minus 17/3 in fraction is -11/2