1/3 - 2/47 as a fraction

Learn how to find what is 1/3 minus 2/47 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/47 as a fraction and decimal.

Summary: 1/3 minus 2/47 = 41/141
Since both fractions have unequal denominators, 1/3 minus 2/47 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/47 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 47. 141 is the LCM of 3 and 47. Multiplying the LCM 141 with the numerators and denominators of both fractions (1/3 x 141/141) - (2/47 x 141/141), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 47/141 and for 2/47 is 6/141. By simplifying this fraction subtraction 47/141 - 6/141, it becomes 41/141.

Pie Chart Representation: 1/3 - 2/47 = 41/141

CALCULATION: 1/3 - 2/47 as a fraction
1/3 - 2/47 = (?)
1/3 - 2/47 = [(1 x 47) - (2 x 3)]/(3 x 47)
= (47 - 6)/141
= 41/141
1/3 - 2/47 = 41/141
1/3 minus 2/47 as a fraction is 41/141.

where
1/3 is a proper fraction as a minuend,
2/47 is a proper fraction as a subtrahend,
41/141 is the difference between 1/3 and 2/47.

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1/3 minus 2/47 as a decimal
1/3 - 2/47 = 41/141
41/141 = 0.2908
(1/3) - (2/47) as a decimal is 0.2908

where
0.2908 is the difference between 1/3 and 2/47.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/47 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 2/47.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/47) using LCM Method:
What is 1/3 minus 2/47 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/47

What to be found?
(1/3) - (2/47) = ?
Find what's the difference between 1/3 and 2/47.

step 2 Compare the denominators of fractions 1/3 and 2/47 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/47 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 2/47:
The LCM of 3 and 47 is 141.

step 4 Write the fractions 1/3 and 2/47 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/47
= [(1 x 141)/(3 x 141)] - [(2 x 141)/(47 x 141)]

step 5 Simplify the expression to have common denominator:
= 47/141 - 6/141

step 6 Take the common values out and rewrite the above expression like the below:
= 1/141 x (47/1 - 6/1)
= 1/141 x (47 - 6)

step 7Simplify the above expression further:
= 1/141 x 41
= 41/141
1/3 - 2/47 = 41/141

Hence,
1/3 minus 2/47 as a fraction is 41/141.

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1/3 - 2/47 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/47

What to be found?
(1/3)-(2/47) = ?
Find what's the difference between 1/3 and 2/47.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 47), 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 47) and rewrite the equation as like the below:
= (1 x 47) - (2 x 3)/(3 x 47)

step 3 Simplify and rewrite the fraction:
= (47 - 6)/141
1/3 - 2/47 = 41/141

Hence,
1/3 minus 2/47 in fraction is 41/141