1/7 - 2/54 as a fraction

Learn how to find what is 1/7 minus 2/54 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 2/54 as a fraction and decimal.

Summary: 1/7 minus 2/54 = 20/189
Since both fractions have unequal denominators, 1/7 minus 2/54 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/54 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 54. 378 is the LCM of 7 and 54. Multiplying the LCM 378 with the numerators and denominators of both fractions (1/7 x 378/378) - (2/54 x 378/378), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 54/378 and for 2/54 is 14/378. By simplifying this fraction subtraction 54/378 - 14/378, it becomes 40/378.

Pie Chart Representation: 1/7 - 2/54 = 20/189

CALCULATION: 1/7 - 2/54 as a fraction
1/7 - 2/54 = (?)
1/7 - 2/54 = [(1 x 54) - (2 x 7)]/(7 x 54)
= (54 - 14)/378
= 40/378
= (2 x 20)/(2 x 189)
= 20/189
1/7 - 2/54 = 20/189
1/7 minus 2/54 as a fraction is 20/189.

where
1/7 is a proper fraction as a minuend,
2/54 is a proper fraction as a subtrahend,
20/189 is the difference between 1/7 and 2/54.

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1/7 minus 2/54 as a decimal
1/7 - 2/54 = 20/189
20/189 = 0.1058
(1/7) - (2/54) as a decimal is 0.1058

where
0.1058 is the difference between 1/7 and 2/54.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/54 from 1/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/7 minus 2/54.
1. LCM method
2. Cross multiplication method.

(1/7) - (2/54) using LCM Method:
What is 1/7 minus 2/54 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/54

What to be found?
(1/7) - (2/54) = ?
Find what's the difference between 1/7 and 2/54.

step 2 Compare the denominators of fractions 1/7 and 2/54 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 2/54 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 1/7 and 2/54:
The LCM of 7 and 54 is 378.

step 4 Write the fractions 1/7 and 2/54 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 2/54
= [(1 x 378)/(7 x 378)] - [(2 x 378)/(54 x 378)]

step 5 Simplify the expression to have common denominator:
= 54/378 - 14/378

step 6 Take the common values out and rewrite the above expression like the below:
= 1/378 x (54/1 - 14/1)
= 1/378 x (54 - 14)

step 7Simplify the above expression further:
= 1/378 x 40
= 40/378
= 20/189
1/7 - 2/54 = 20/189

Hence,
1/7 minus 2/54 as a fraction is 20/189.

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1/7 - 2/54 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/54

What to be found?
(1/7)-(2/54) = ?
Find what's the difference between 1/7 and 2/54.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 54), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 54) and rewrite the equation as like the below:
= (1 x 54) - (2 x 7)/(7 x 54)

step 3 Simplify and rewrite the fraction:
= (54 - 14)/378
= 40/378
= 20/189
1/7 - 2/54 = 20/189

Hence,
1/7 minus 2/54 in fraction is 20/189