1/6 - 2/33 as a fraction

Learn how to find what is 1/6 minus 2/33 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/33 as a fraction and decimal.

Summary: 1/6 minus 2/33 = 7/66
Since both fractions have unequal denominators, 1/6 minus 2/33 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/33 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 33. 66 is the LCM of 6 and 33. Multiplying the LCM 66 with the numerators and denominators of both fractions (1/6 x 66/66) - (2/33 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 11/66 and for 2/33 is 4/66. By simplifying this fraction subtraction 11/66 - 4/66, it becomes 7/66.

Pie Chart Representation: 1/6 - 2/33 = 7/66

CALCULATION: 1/6 - 2/33 as a fraction
1/6 - 2/33 = (?)
1/6 - 2/33 = [(1 x 33) - (2 x 6)]/(6 x 33)
= (33 - 12)/198
= 21/198
= (3 x 7)/(3 x 66)
= 7/66
1/6 - 2/33 = 7/66
1/6 minus 2/33 as a fraction is 7/66.

where
1/6 is a proper fraction as a minuend,
2/33 is a proper fraction as a subtrahend,
7/66 is the difference between 1/6 and 2/33.

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1/6 minus 2/33 as a decimal
1/6 - 2/33 = 7/66
7/66 = 0.1061
(1/6) - (2/33) as a decimal is 0.1061

where
0.1061 is the difference between 1/6 and 2/33.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/33 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 2/33.
1. LCM method
2. Cross multiplication method.

(1/6) - (2/33) using LCM Method:
What is 1/6 minus 2/33 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/33

What to be found?
(1/6) - (2/33) = ?
Find what's the difference between 1/6 and 2/33.

step 2 Compare the denominators of fractions 1/6 and 2/33 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/33 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 2/33:
The LCM of 6 and 33 is 66.

step 4 Write the fractions 1/6 and 2/33 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/33
= [(1 x 66)/(6 x 66)] - [(2 x 66)/(33 x 66)]

step 5 Simplify the expression to have common denominator:
= 11/66 - 4/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (11/1 - 4/1)
= 1/66 x (11 - 4)

step 7Simplify the above expression further:
= 1/66 x 7
= 7/66
1/6 - 2/33 = 7/66

Hence,
1/6 minus 2/33 as a fraction is 7/66.

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1/6 - 2/33 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/33

What to be found?
(1/6)-(2/33) = ?
Find what's the difference between 1/6 and 2/33.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 33), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 33) and rewrite the equation as like the below:
= (1 x 33) - (2 x 6)/(6 x 33)

step 3 Simplify and rewrite the fraction:
= (33 - 12)/198
= 21/198
= 7/66
1/6 - 2/33 = 7/66

Hence,
1/6 minus 2/33 in fraction is 7/66