1/3 - 2/52 as a fraction

Learn how to find what is 1/3 minus 2/52 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/52 as a fraction and decimal.

Summary: 1/3 minus 2/52 = 23/78
Since both fractions have unequal denominators, 1/3 minus 2/52 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/52 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 52. 156 is the LCM of 3 and 52. Multiplying the LCM 156 with the numerators and denominators of both fractions (1/3 x 156/156) - (2/52 x 156/156), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 52/156 and for 2/52 is 6/156. By simplifying this fraction subtraction 52/156 - 6/156, it becomes 46/156.

Pie Chart Representation: 1/3 - 2/52 = 23/78

CALCULATION: 1/3 - 2/52 as a fraction
1/3 - 2/52 = (?)
1/3 - 2/52 = [(1 x 52) - (2 x 3)]/(3 x 52)
= (52 - 6)/156
= 46/156
= (2 x 23)/(2 x 78)
= 23/78
1/3 - 2/52 = 23/78
1/3 minus 2/52 as a fraction is 23/78.

where
1/3 is a proper fraction as a minuend,
2/52 is a proper fraction as a subtrahend,
23/78 is the difference between 1/3 and 2/52.

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1/3 minus 2/52 as a decimal
1/3 - 2/52 = 23/78
23/78 = 0.2949
(1/3) - (2/52) as a decimal is 0.2949

where
0.2949 is the difference between 1/3 and 2/52.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/52 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/52.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/52) using LCM Method:
What is 1/3 minus 2/52 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/52

What to be found?
(1/3) - (2/52) = ?
Find what's the difference between 1/3 and 2/52.

step 2 Compare the denominators of fractions 1/3 and 2/52 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/52 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 1/3 and 2/52:
The LCM of 3 and 52 is 156.

step 4 Write the fractions 1/3 and 2/52 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/52
= [(1 x 156)/(3 x 156)] - [(2 x 156)/(52 x 156)]

step 5 Simplify the expression to have common denominator:
= 52/156 - 6/156

step 6 Take the common values out and rewrite the above expression like the below:
= 1/156 x (52/1 - 6/1)
= 1/156 x (52 - 6)

step 7Simplify the above expression further:
= 1/156 x 46
= 46/156
= 23/78
1/3 - 2/52 = 23/78

Hence,
1/3 minus 2/52 as a fraction is 23/78.

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1/3 - 2/52 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/52

What to be found?
(1/3)-(2/52) = ?
Find what's the difference between 1/3 and 2/52.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 52), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 52) and rewrite the equation as like the below:
= (1 x 52) - (2 x 3)/(3 x 52)

step 3 Simplify and rewrite the fraction:
= (52 - 6)/156
= 46/156
= 23/78
1/3 - 2/52 = 23/78

Hence,
1/3 minus 2/52 in fraction is 23/78