1/6 - 2/51 as a fraction

Learn how to find what is 1/6 minus 2/51 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/51 as a fraction and decimal.

Summary: 1/6 minus 2/51 = 13/102
Since both fractions have unequal denominators, 1/6 minus 2/51 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 51. 102 is the LCM of 6 and 51. Multiplying the LCM 102 with the numerators and denominators of both fractions (1/6 x 102/102) - (2/51 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 17/102 and for 2/51 is 4/102. By simplifying this fraction subtraction 17/102 - 4/102, it becomes 13/102.

Pie Chart Representation: 1/6 - 2/51 = 13/102

CALCULATION: 1/6 - 2/51 as a fraction
1/6 - 2/51 = (?)
1/6 - 2/51 = [(1 x 51) - (2 x 6)]/(6 x 51)
= (51 - 12)/306
= 39/306
= (3 x 13)/(3 x 102)
= 13/102
1/6 - 2/51 = 13/102
1/6 minus 2/51 as a fraction is 13/102.

where
1/6 is a proper fraction as a minuend,
2/51 is a proper fraction as a subtrahend,
13/102 is the difference between 1/6 and 2/51.

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1/6 minus 2/51 as a decimal
1/6 - 2/51 = 13/102
13/102 = 0.1275
(1/6) - (2/51) as a decimal is 0.1275

where
0.1275 is the difference between 1/6 and 2/51.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/51 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 2/51.
1. LCM method
2. Cross multiplication method.

(1/6) - (2/51) using LCM Method:
What is 1/6 minus 2/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/51

What to be found?
(1/6) - (2/51) = ?
Find what's the difference between 1/6 and 2/51.

step 2 Compare the denominators of fractions 1/6 and 2/51 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/51 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 2/51:
The LCM of 6 and 51 is 102.

step 4 Write the fractions 1/6 and 2/51 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/51
= [(1 x 102)/(6 x 102)] - [(2 x 102)/(51 x 102)]

step 5 Simplify the expression to have common denominator:
= 17/102 - 4/102

step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (17/1 - 4/1)
= 1/102 x (17 - 4)

step 7Simplify the above expression further:
= 1/102 x 13
= 13/102
1/6 - 2/51 = 13/102

Hence,
1/6 minus 2/51 as a fraction is 13/102.

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1/6 - 2/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/51

What to be found?
(1/6)-(2/51) = ?
Find what's the difference between 1/6 and 2/51.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 51), 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 51) and rewrite the equation as like the below:
= (1 x 51) - (2 x 6)/(6 x 51)

step 3 Simplify and rewrite the fraction:
= (51 - 12)/306
= 39/306
= 13/102
1/6 - 2/51 = 13/102

Hence,
1/6 minus 2/51 in fraction is 13/102