1/3 - 11/6 as a fraction

Learn how to find what is 1/3 minus 11/6 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 11/6 as a fraction and decimal.

Summary: 1/3 minus 11/6 = -3/2
Since both fractions have unequal denominators, 1/3 minus 11/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 11/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (1/3 x 6/6) - (11/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 2/6 and for 11/6 is 11/6. By simplifying this fraction subtraction 2/6 - 11/6, it becomes -9/6.

CALCULATION: 1/3 - 11/6 as a fraction
1/3 - 11/6 = (?)
1/3 - 11/6 = [(1 x 6) - (11 x 3)]/(3 x 6)
= (6 - 33)/18
= -27/18
= (9 x -3)/(9 x 2)
= -3/2
1/3 - 11/6 = -3/2
1/3 minus 11/6 as a fraction is -3/2.

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

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1/3 minus 11/6 as a decimal
1/3 - 11/6 = -3/2
-3/2 = -1.5
(1/3) - (11/6) as a decimal is -1.5

where
-1.5 is the difference between 1/3 and 11/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/6 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 11/6.
1. LCM method
2. Cross multiplication method.

(1/3) - (11/6) using LCM Method:
What is 1/3 minus 11/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 11/6

What to be found?
(1/3) - (11/6) = ?
Find what's the difference between 1/3 and 11/6.

step 2 Compare the denominators of fractions 1/3 and 11/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 11/6 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 11/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 1/3 and 11/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 11/6
= [(1 x 6)/(3 x 6)] - [(11 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 2/6 - 11/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (2/1 - 11/1)
= 1/6 x (2 - 11)

step 7Simplify the above expression further:
= 1/6 x -9
= -9/6
= -3/2
1/3 - 11/6 = -3/2

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

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1/3 - 11/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 11/6

What to be found?
(1/3)-(11/6) = ?
Find what's the difference between 1/3 and 11/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 6), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 6) and rewrite the equation as like the below:
= (1 x 6) - (11 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (6 - 33)/18
= -27/18
= -3/2
1/3 - 11/6 = -3/2

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