1/3 - 2/71 as a fraction

Learn how to find what is 1/3 minus 2/71 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/71 as a fraction and decimal.

Summary: 1/3 minus 2/71 = 65/213
Since both fractions have unequal denominators, 1/3 minus 2/71 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/71 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 71. 213 is the LCM of 3 and 71. Multiplying the LCM 213 with the numerators and denominators of both fractions (1/3 x 213/213) - (2/71 x 213/213), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 71/213 and for 2/71 is 6/213. By simplifying this fraction subtraction 71/213 - 6/213, it becomes 65/213.

Pie Chart Representation: 1/3 - 2/71 = 65/213

CALCULATION: 1/3 - 2/71 as a fraction
1/3 - 2/71 = (?)
1/3 - 2/71 = [(1 x 71) - (2 x 3)]/(3 x 71)
= (71 - 6)/213
= 65/213
1/3 - 2/71 = 65/213
1/3 minus 2/71 as a fraction is 65/213.

where
1/3 is a proper fraction as a minuend,
2/71 is a proper fraction as a subtrahend,
65/213 is the difference between 1/3 and 2/71.

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1/3 minus 2/71 as a decimal
1/3 - 2/71 = 65/213
65/213 = 0.3052
(1/3) - (2/71) as a decimal is 0.3052

where
0.3052 is the difference between 1/3 and 2/71.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/71 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 2/71.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/71) using LCM Method:
What is 1/3 minus 2/71 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/71

What to be found?
(1/3) - (2/71) = ?
Find what's the difference between 1/3 and 2/71.

step 2 Compare the denominators of fractions 1/3 and 2/71 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/71 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 2/71:
The LCM of 3 and 71 is 213.

step 4 Write the fractions 1/3 and 2/71 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/71
= [(1 x 213)/(3 x 213)] - [(2 x 213)/(71 x 213)]

step 5 Simplify the expression to have common denominator:
= 71/213 - 6/213

step 6 Take the common values out and rewrite the above expression like the below:
= 1/213 x (71/1 - 6/1)
= 1/213 x (71 - 6)

step 7Simplify the above expression further:
= 1/213 x 65
= 65/213
1/3 - 2/71 = 65/213

Hence,
1/3 minus 2/71 as a fraction is 65/213.

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1/3 - 2/71 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/71

What to be found?
(1/3)-(2/71) = ?
Find what's the difference between 1/3 and 2/71.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 71), 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 71) and rewrite the equation as like the below:
= (1 x 71) - (2 x 3)/(3 x 71)

step 3 Simplify and rewrite the fraction:
= (71 - 6)/213
1/3 - 2/71 = 65/213

Hence,
1/3 minus 2/71 in fraction is 65/213