2/3 - 1/27 as a fraction

Learn how to find what is 2/3 minus 1/27 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 1/27 as a fraction and decimal.

Summary: 2/3 minus 1/27 = 17/27
Since both fractions have unequal denominators, 2/3 minus 1/27 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/27 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 27. 27 is the LCM of 3 and 27. Multiplying the LCM 27 with the numerators and denominators of both fractions (2/3 x 27/27) - (1/27 x 27/27), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 18/27 and for 1/27 is 1/27. By simplifying this fraction subtraction 18/27 - 1/27, it becomes 17/27.

Pie Chart Representation: 2/3 - 1/27 = 17/27

CALCULATION: 2/3 - 1/27 as a fraction
2/3 - 1/27 = (?)
2/3 - 1/27 = [(2 x 27) - (1 x 3)]/(3 x 27)
= (54 - 3)/81
= 51/81
= (3 x 17)/(3 x 27)
= 17/27
2/3 - 1/27 = 17/27
2/3 minus 1/27 as a fraction is 17/27.

where
2/3 is a proper fraction as a minuend,
1/27 is a proper fraction as a subtrahend,
17/27 is the difference between 2/3 and 1/27.

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2/3 minus 1/27 as a decimal
2/3 - 1/27 = 17/27
17/27 = 0.6296
(2/3) - (1/27) as a decimal is 0.6296

where
0.6296 is the difference between 2/3 and 1/27.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/27 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 1/27.
1. LCM method
2. Cross multiplication method.

(2/3) - (1/27) using LCM Method:
What is 2/3 minus 1/27 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/27

What to be found?
(2/3) - (1/27) = ?
Find what's the difference between 2/3 and 1/27.

step 2 Compare the denominators of fractions 2/3 and 1/27 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 1/27 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 2/3 and 1/27:
The LCM of 3 and 27 is 27.

step 4 Write the fractions 2/3 and 1/27 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 1/27
= [(2 x 27)/(3 x 27)] - [(1 x 27)/(27 x 27)]

step 5 Simplify the expression to have common denominator:
= 18/27 - 1/27

step 6 Take the common values out and rewrite the above expression like the below:
= 1/27 x (18/1 - 1/1)
= 1/27 x (18 - 1)

step 7Simplify the above expression further:
= 1/27 x 17
= 17/27
2/3 - 1/27 = 17/27

Hence,
2/3 minus 1/27 as a fraction is 17/27.

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2/3 - 1/27 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/27

What to be found?
(2/3)-(1/27) = ?
Find what's the difference between 2/3 and 1/27.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 27), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 27) and rewrite the equation as like the below:
= (2 x 27) - (1 x 3)/(3 x 27)

step 3 Simplify and rewrite the fraction:
= (54 - 3)/81
= 51/81
= 17/27
2/3 - 1/27 = 17/27

Hence,
2/3 minus 1/27 in fraction is 17/27