1/6 - 6 as a fraction

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

Summary: 1/6 minus 6 = -35/6
Since both fractions have unequal denominators, 1/6 minus 6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (1/6 x 6/6) - (6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 1/6 and for 6 is 36/6. By simplifying this fraction subtraction 1/6 - 36/6, it becomes -35/6.

CALCULATION: 1/6 - 6 as a fraction
1/6 - 6 = (?)
1/6 - 6/1 = [(1 x 1) - (6 x 6)]/(6 x 1)
= (1 - 36)/6
= -35/6
1/6 - 6 = -35/6
1/6 minus 6 as a fraction is -35/6.

where
1/6 is a proper fraction as a minuend,
6 is a whole number as a subtrahend,
-35/6 is the difference between 1/6 and 6.

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1/6 minus 6 as a decimal
1/6 - 6 = -35/6
-35/6 = -5.8333
(1/6) - (6) as a decimal is -5.8333

where
-5.8333 is the difference between 1/6 and 6.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 6 from 1/6. use any one of the following methods to find the equivalent fraction for 1/6 minus 6.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 1/6 - 36/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (1/1 - 36/1)
= 1/6 x (1 - 36)

step 7Simplify the above expression further:
= 1/6 x -35
= -35/6
1/6 - 6 = -35/6

Hence,
1/6 minus 6 as a fraction is -35/6.

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

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

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

step 3 Simplify and rewrite the fraction:
= (1 - 36)/6
1/6 - 6 = -35/6

Hence,
1/6 minus 6 in fraction is -35/6