1/6 - 2/53 as a fraction

Learn how to find what is 1/6 minus 2/53 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/53 as a fraction and decimal.

Summary: 1/6 minus 2/53 = 41/318
Since both fractions have unequal denominators, 1/6 minus 2/53 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/53 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 53. 318 is the LCM of 6 and 53. Multiplying the LCM 318 with the numerators and denominators of both fractions (1/6 x 318/318) - (2/53 x 318/318), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 53/318 and for 2/53 is 12/318. By simplifying this fraction subtraction 53/318 - 12/318, it becomes 41/318.

Pie Chart Representation: 1/6 - 2/53 = 41/318

CALCULATION: 1/6 - 2/53 as a fraction
1/6 - 2/53 = (?)
1/6 - 2/53 = [(1 x 53) - (2 x 6)]/(6 x 53)
= (53 - 12)/318
= 41/318
1/6 - 2/53 = 41/318
1/6 minus 2/53 as a fraction is 41/318.

where
1/6 is a proper fraction as a minuend,
2/53 is a proper fraction as a subtrahend,
41/318 is the difference between 1/6 and 2/53.

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1/6 minus 2/53 as a decimal
1/6 - 2/53 = 41/318
41/318 = 0.1289
(1/6) - (2/53) as a decimal is 0.1289

where
0.1289 is the difference between 1/6 and 2/53.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/53 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 2/53.
1. LCM method
2. Cross multiplication method.

(1/6) - (2/53) using LCM Method:
What is 1/6 minus 2/53 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/53

What to be found?
(1/6) - (2/53) = ?
Find what's the difference between 1/6 and 2/53.

step 2 Compare the denominators of fractions 1/6 and 2/53 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/53 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 2/53:
The LCM of 6 and 53 is 318.

step 4 Write the fractions 1/6 and 2/53 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/53
= [(1 x 318)/(6 x 318)] - [(2 x 318)/(53 x 318)]

step 5 Simplify the expression to have common denominator:
= 53/318 - 12/318

step 6 Take the common values out and rewrite the above expression like the below:
= 1/318 x (53/1 - 12/1)
= 1/318 x (53 - 12)

step 7Simplify the above expression further:
= 1/318 x 41
= 41/318
1/6 - 2/53 = 41/318

Hence,
1/6 minus 2/53 as a fraction is 41/318.

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1/6 - 2/53 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/53

What to be found?
(1/6)-(2/53) = ?
Find what's the difference between 1/6 and 2/53.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 53), 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 53) and rewrite the equation as like the below:
= (1 x 53) - (2 x 6)/(6 x 53)

step 3 Simplify and rewrite the fraction:
= (53 - 12)/318
1/6 - 2/53 = 41/318

Hence,
1/6 minus 2/53 in fraction is 41/318