1/6 - 2/23 as a fraction

Learn how to find what is 1/6 minus 2/23 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/23 as a fraction and decimal.

Summary: 1/6 minus 2/23 = 11/138
Since both fractions have unequal denominators, 1/6 minus 2/23 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/23 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 23. 138 is the LCM of 6 and 23. Multiplying the LCM 138 with the numerators and denominators of both fractions (1/6 x 138/138) - (2/23 x 138/138), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 23/138 and for 2/23 is 12/138. By simplifying this fraction subtraction 23/138 - 12/138, it becomes 11/138.

Pie Chart Representation: 1/6 - 2/23 = 11/138

CALCULATION: 1/6 - 2/23 as a fraction
1/6 - 2/23 = (?)
1/6 - 2/23 = [(1 x 23) - (2 x 6)]/(6 x 23)
= (23 - 12)/138
= 11/138
1/6 - 2/23 = 11/138
1/6 minus 2/23 as a fraction is 11/138.

where
1/6 is a proper fraction as a minuend,
2/23 is a proper fraction as a subtrahend,
11/138 is the difference between 1/6 and 2/23.

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1/6 minus 2/23 as a decimal
1/6 - 2/23 = 11/138
11/138 = 0.0797
(1/6) - (2/23) as a decimal is 0.0797

where
0.0797 is the difference between 1/6 and 2/23.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/23 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 2/23.
1. LCM method
2. Cross multiplication method.

(1/6) - (2/23) using LCM Method:
What is 1/6 minus 2/23 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/23

What to be found?
(1/6) - (2/23) = ?
Find what's the difference between 1/6 and 2/23.

step 2 Compare the denominators of fractions 1/6 and 2/23 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/23 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 2/23:
The LCM of 6 and 23 is 138.

step 4 Write the fractions 1/6 and 2/23 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/23
= [(1 x 138)/(6 x 138)] - [(2 x 138)/(23 x 138)]

step 5 Simplify the expression to have common denominator:
= 23/138 - 12/138

step 6 Take the common values out and rewrite the above expression like the below:
= 1/138 x (23/1 - 12/1)
= 1/138 x (23 - 12)

step 7Simplify the above expression further:
= 1/138 x 11
= 11/138
1/6 - 2/23 = 11/138

Hence,
1/6 minus 2/23 as a fraction is 11/138.

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1/6 - 2/23 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/23

What to be found?
(1/6)-(2/23) = ?
Find what's the difference between 1/6 and 2/23.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 23), 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 23) and rewrite the equation as like the below:
= (1 x 23) - (2 x 6)/(6 x 23)

step 3 Simplify and rewrite the fraction:
= (23 - 12)/138
1/6 - 2/23 = 11/138

Hence,
1/6 minus 2/23 in fraction is 11/138