1/5 - 2/61 as a fraction

Learn how to find what is 1/5 minus 2/61 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 2/61 as a fraction and decimal.

Summary: 1/5 minus 2/61 = 51/305
Since both fractions have unequal denominators, 1/5 minus 2/61 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/61 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 61. 305 is the LCM of 5 and 61. Multiplying the LCM 305 with the numerators and denominators of both fractions (1/5 x 305/305) - (2/61 x 305/305), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 61/305 and for 2/61 is 10/305. By simplifying this fraction subtraction 61/305 - 10/305, it becomes 51/305.

Pie Chart Representation: 1/5 - 2/61 = 51/305

CALCULATION: 1/5 - 2/61 as a fraction
1/5 - 2/61 = (?)
1/5 - 2/61 = [(1 x 61) - (2 x 5)]/(5 x 61)
= (61 - 10)/305
= 51/305
1/5 - 2/61 = 51/305
1/5 minus 2/61 as a fraction is 51/305.

where
1/5 is a proper fraction as a minuend,
2/61 is a proper fraction as a subtrahend,
51/305 is the difference between 1/5 and 2/61.

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1/5 minus 2/61 as a decimal
1/5 - 2/61 = 51/305
51/305 = 0.1672
(1/5) - (2/61) as a decimal is 0.1672

where
0.1672 is the difference between 1/5 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 1/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/5 minus 2/61.
1. LCM method
2. Cross multiplication method.

(1/5) - (2/61) using LCM Method:
What is 1/5 minus 2/61 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/61

What to be found?
(1/5) - (2/61) = ?
Find what's the difference between 1/5 and 2/61.

step 2 Compare the denominators of fractions 1/5 and 2/61 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 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 1/5 and 2/61:
The LCM of 5 and 61 is 305.

step 4 Write the fractions 1/5 and 2/61 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 2/61
= [(1 x 305)/(5 x 305)] - [(2 x 305)/(61 x 305)]

step 5 Simplify the expression to have common denominator:
= 61/305 - 10/305

step 6 Take the common values out and rewrite the above expression like the below:
= 1/305 x (61/1 - 10/1)
= 1/305 x (61 - 10)

step 7Simplify the above expression further:
= 1/305 x 51
= 51/305
1/5 - 2/61 = 51/305

Hence,
1/5 minus 2/61 as a fraction is 51/305.

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1/5 - 2/61 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/61

What to be found?
(1/5)-(2/61) = ?
Find what's the difference between 1/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 61) and rewrite the equation as like the below:
= (1 x 61) - (2 x 5)/(5 x 61)

step 3 Simplify and rewrite the fraction:
= (61 - 10)/305
1/5 - 2/61 = 51/305

Hence,
1/5 minus 2/61 in fraction is 51/305