What is 1/6 minus 2/11 in fraction?
1/6 minus 2/11 equals to -1/66 in fraction form.
Learn how to find what is 1/6 minus 2/11 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/11 as a fraction and decimal.
Summary: 1/6 minus 2/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 2/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 66 is the LCM of 6 and 11. Multiply the LCM 66 with all the numerators and denominators of both fractions (1/6 x 66/66) - (2/11 x 66/66) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/66.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/11 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 2/11.
1. LCM method
2. Cross multiplication method.
1/6-2/11 using LCM Method:
What is 1/6 minus 2/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/11
What to be found?
1/6-2/11 = ?
Find what's the difference between 1/6 and 2/11.
step 2 Compare the denominators of fractions 1/6 and 2/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/11 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 2/11:
The LCM of 6 and 11 is 66.
step 4 Write the fractions 1/6 and 2/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6-2/11
=(1 x 66)/(6 x 66)-(2 x 66)/(11 x 66)
step 5 Simplify the expression to have common denominator:
=11/66-12/66
step 6 Take the common values out and rewrite the above expression like the below:
=1/66 x (11/1-12/1)
=1/66 x (11 - 12)
step 7Simplify the above expression further:
=1/66 x -1
=-1/66
1/6-2/11=-1/66
Hence,
1/6 minus 2/11 equals to -1/66 in fraction.
1/6-2/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/11
What to be found?
1/6-2/11 = ?
Find what's the difference between 1/6 and 2/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), 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 11) and rewrite the equation as like the below:
= (1 x 11) - (2 x 6)/(6 x 11)
step 3 Simplify and rewrite the fraction:
= (11 - 12)/66
1/6-2/11 = -1/66
Hence,
1/6 minus 2/11 = -1/66