1/3 - 2/53 as a fraction

Learn how to find what is 1/3 minus 2/53 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/53 as a fraction and decimal.

Summary: 1/3 minus 2/53 = 47/159
Since both fractions have unequal denominators, 1/3 minus 2/53 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/53 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 53. 159 is the LCM of 3 and 53. Multiplying the LCM 159 with the numerators and denominators of both fractions (1/3 x 159/159) - (2/53 x 159/159), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 53/159 and for 2/53 is 6/159. By simplifying this fraction subtraction 53/159 - 6/159, it becomes 47/159.

Pie Chart Representation: 1/3 - 2/53 = 47/159

CALCULATION: 1/3 - 2/53 as a fraction
1/3 - 2/53 = (?)
1/3 - 2/53 = [(1 x 53) - (2 x 3)]/(3 x 53)
= (53 - 6)/159
= 47/159
1/3 - 2/53 = 47/159
1/3 minus 2/53 as a fraction is 47/159.

where
1/3 is a proper fraction as a minuend,
2/53 is a proper fraction as a subtrahend,
47/159 is the difference between 1/3 and 2/53.

---

1/3 minus 2/53 as a decimal
1/3 - 2/53 = 47/159
47/159 = 0.2956
(1/3) - (2/53) as a decimal is 0.2956

where
0.2956 is the difference between 1/3 and 2/53.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/53 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 2/53.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/53) using LCM Method:
What is 1/3 minus 2/53 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/53

What to be found?
(1/3) - (2/53) = ?
Find what's the difference between 1/3 and 2/53.

step 2 Compare the denominators of fractions 1/3 and 2/53 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/53 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 2/53:
The LCM of 3 and 53 is 159.

step 4 Write the fractions 1/3 and 2/53 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/53
= [(1 x 159)/(3 x 159)] - [(2 x 159)/(53 x 159)]

step 5 Simplify the expression to have common denominator:
= 53/159 - 6/159

step 6 Take the common values out and rewrite the above expression like the below:
= 1/159 x (53/1 - 6/1)
= 1/159 x (53 - 6)

step 7Simplify the above expression further:
= 1/159 x 47
= 47/159
1/3 - 2/53 = 47/159

Hence,
1/3 minus 2/53 as a fraction is 47/159.

---

1/3 - 2/53 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/53

What to be found?
(1/3)-(2/53) = ?
Find what's the difference between 1/3 and 2/53.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 53), 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 53) and rewrite the equation as like the below:
= (1 x 53) - (2 x 3)/(3 x 53)

step 3 Simplify and rewrite the fraction:
= (53 - 6)/159
1/3 - 2/53 = 47/159

Hence,
1/3 minus 2/53 in fraction is 47/159