2/5 - 1/31 as a fraction

Learn how to find what is 2/5 minus 1/31 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 1/31 as a fraction and decimal.

Summary: 2/5 minus 1/31 = 57/155
Since both fractions have unequal denominators, 2/5 minus 1/31 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/31 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 31. 155 is the LCM of 5 and 31. Multiplying the LCM 155 with the numerators and denominators of both fractions (2/5 x 155/155) - (1/31 x 155/155), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 62/155 and for 1/31 is 5/155. By simplifying this fraction subtraction 62/155 - 5/155, it becomes 57/155.

Pie Chart Representation: 2/5 - 1/31 = 57/155

CALCULATION: 2/5 - 1/31 as a fraction
2/5 - 1/31 = (?)
2/5 - 1/31 = [(2 x 31) - (1 x 5)]/(5 x 31)
= (62 - 5)/155
= 57/155
2/5 - 1/31 = 57/155
2/5 minus 1/31 as a fraction is 57/155.

where
2/5 is a proper fraction as a minuend,
1/31 is a proper fraction as a subtrahend,
57/155 is the difference between 2/5 and 1/31.

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2/5 minus 1/31 as a decimal
2/5 - 1/31 = 57/155
57/155 = 0.3677
(2/5) - (1/31) as a decimal is 0.3677

where
0.3677 is the difference between 2/5 and 1/31.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/31 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 1/31.
1. LCM method
2. Cross multiplication method.

(2/5) - (1/31) using LCM Method:
What is 2/5 minus 1/31 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/31

What to be found?
(2/5) - (1/31) = ?
Find what's the difference between 2/5 and 1/31.

step 2 Compare the denominators of fractions 2/5 and 1/31 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 1/31 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 2/5 and 1/31:
The LCM of 5 and 31 is 155.

step 4 Write the fractions 2/5 and 1/31 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 1/31
= [(2 x 155)/(5 x 155)] - [(1 x 155)/(31 x 155)]

step 5 Simplify the expression to have common denominator:
= 62/155 - 5/155

step 6 Take the common values out and rewrite the above expression like the below:
= 1/155 x (62/1 - 5/1)
= 1/155 x (62 - 5)

step 7Simplify the above expression further:
= 1/155 x 57
= 57/155
2/5 - 1/31 = 57/155

Hence,
2/5 minus 1/31 as a fraction is 57/155.

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2/5 - 1/31 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/31

What to be found?
(2/5)-(1/31) = ?
Find what's the difference between 2/5 and 1/31.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 31), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 31) and rewrite the equation as like the below:
= (2 x 31) - (1 x 5)/(5 x 31)

step 3 Simplify and rewrite the fraction:
= (62 - 5)/155
2/5 - 1/31 = 57/155

Hence,
2/5 minus 1/31 in fraction is 57/155