1/3 - 2/61 as a fraction

Learn how to find what is 1/3 minus 2/61 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/61 as a fraction and decimal.

Summary: 1/3 minus 2/61 = 55/183
Since both fractions have unequal denominators, 1/3 minus 2/61 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/61 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 61. 183 is the LCM of 3 and 61. Multiplying the LCM 183 with the numerators and denominators of both fractions (1/3 x 183/183) - (2/61 x 183/183), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 61/183 and for 2/61 is 6/183. By simplifying this fraction subtraction 61/183 - 6/183, it becomes 55/183.

Pie Chart Representation: 1/3 - 2/61 = 55/183

CALCULATION: 1/3 - 2/61 as a fraction
1/3 - 2/61 = (?)
1/3 - 2/61 = [(1 x 61) - (2 x 3)]/(3 x 61)
= (61 - 6)/183
= 55/183
1/3 - 2/61 = 55/183
1/3 minus 2/61 as a fraction is 55/183.

where
1/3 is a proper fraction as a minuend,
2/61 is a proper fraction as a subtrahend,
55/183 is the difference between 1/3 and 2/61.

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1/3 minus 2/61 as a decimal
1/3 - 2/61 = 55/183
55/183 = 0.3005
(1/3) - (2/61) as a decimal is 0.3005

where
0.3005 is the difference between 1/3 and 2/61.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/61 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 2/61.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/61) using LCM Method:
What is 1/3 minus 2/61 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/61

What to be found?
(1/3) - (2/61) = ?
Find what's the difference between 1/3 and 2/61.

step 2 Compare the denominators of fractions 1/3 and 2/61 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/61 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 2/61:
The LCM of 3 and 61 is 183.

step 4 Write the fractions 1/3 and 2/61 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/61
= [(1 x 183)/(3 x 183)] - [(2 x 183)/(61 x 183)]

step 5 Simplify the expression to have common denominator:
= 61/183 - 6/183

step 6 Take the common values out and rewrite the above expression like the below:
= 1/183 x (61/1 - 6/1)
= 1/183 x (61 - 6)

step 7Simplify the above expression further:
= 1/183 x 55
= 55/183
1/3 - 2/61 = 55/183

Hence,
1/3 minus 2/61 as a fraction is 55/183.

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1/3 - 2/61 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/61

What to be found?
(1/3)-(2/61) = ?
Find what's the difference between 1/3 and 2/61.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 61), 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 61) and rewrite the equation as like the below:
= (1 x 61) - (2 x 3)/(3 x 61)

step 3 Simplify and rewrite the fraction:
= (61 - 6)/183
1/3 - 2/61 = 55/183

Hence,
1/3 minus 2/61 in fraction is 55/183