1/9 - 2/31 as a fraction

Learn how to find what is 1/9 minus 2/31 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 - 2/31 as a fraction and decimal.

Summary: 1/9 minus 2/31 = 13/279
Since both fractions have unequal denominators, 1/9 minus 2/31 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/31 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 31. 279 is the LCM of 9 and 31. Multiplying the LCM 279 with the numerators and denominators of both fractions (1/9 x 279/279) - (2/31 x 279/279), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 31/279 and for 2/31 is 18/279. By simplifying this fraction subtraction 31/279 - 18/279, it becomes 13/279.

Pie Chart Representation: 1/9 - 2/31 = 13/279

CALCULATION: 1/9 - 2/31 as a fraction
1/9 - 2/31 = (?)
1/9 - 2/31 = [(1 x 31) - (2 x 9)]/(9 x 31)
= (31 - 18)/279
= 13/279
1/9 - 2/31 = 13/279
1/9 minus 2/31 as a fraction is 13/279.

where
1/9 is a proper fraction as a minuend,
2/31 is a proper fraction as a subtrahend,
13/279 is the difference between 1/9 and 2/31.

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1/9 minus 2/31 as a decimal
1/9 - 2/31 = 13/279
13/279 = 0.0466
(1/9) - (2/31) as a decimal is 0.0466

where
0.0466 is the difference between 1/9 and 2/31.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/31 from 1/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/9 minus 2/31.
1. LCM method
2. Cross multiplication method.

(1/9) - (2/31) using LCM Method:
What is 1/9 minus 2/31 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/31

What to be found?
(1/9) - (2/31) = ?
Find what's the difference between 1/9 and 2/31.

step 2 Compare the denominators of fractions 1/9 and 2/31 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/9 and 2/31 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 1/9 and 2/31:
The LCM of 9 and 31 is 279.

step 4 Write the fractions 1/9 and 2/31 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 - 2/31
= [(1 x 279)/(9 x 279)] - [(2 x 279)/(31 x 279)]

step 5 Simplify the expression to have common denominator:
= 31/279 - 18/279

step 6 Take the common values out and rewrite the above expression like the below:
= 1/279 x (31/1 - 18/1)
= 1/279 x (31 - 18)

step 7Simplify the above expression further:
= 1/279 x 13
= 13/279
1/9 - 2/31 = 13/279

Hence,
1/9 minus 2/31 as a fraction is 13/279.

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1/9 - 2/31 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/31

What to be found?
(1/9)-(2/31) = ?
Find what's the difference between 1/9 and 2/31.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 31), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 31) and rewrite the equation as like the below:
= (1 x 31) - (2 x 9)/(9 x 31)

step 3 Simplify and rewrite the fraction:
= (31 - 18)/279
1/9 - 2/31 = 13/279

Hence,
1/9 minus 2/31 in fraction is 13/279