2/1 - 1/6 as a fraction

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

Summary: 2/1 minus 1/6 = 11/6
Since both fractions have unequal denominators, 2/1 minus 1/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 6. 6 is the LCM of 1 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (2/1 x 6/6) - (1/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 12/6 and for 1/6 is 1/6. By simplifying this fraction subtraction 12/6 - 1/6, it becomes 11/6.

CALCULATION: 2/1 - 1/6 as a fraction
2/1 - 1/6 = (?)
2/1 - 1/6 = [(2 x 6) - (1 x 1)]/(1 x 6)
= (12 - 1)/6
= 11/6
2/1 - 1/6 = 11/6
2/1 minus 1/6 as a fraction is 11/6.

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

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2/1 minus 1/6 as a decimal
2/1 - 1/6 = 11/6
11/6 = 1.8333
(2/1) - (1/6) as a decimal is 1.8333

where
1.8333 is the difference between 2/1 and 1/6.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 12/6 - 1/6

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

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

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

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

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

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

step 3 Simplify and rewrite the fraction:
= (12 - 1)/6
2/1 - 1/6 = 11/6

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