1/2 - 1/83 as a fraction

Learn how to find what is 1/2 minus 1/83 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 1/83 as a fraction and decimal.

Summary: 1/2 minus 1/83 = 81/166
Since both fractions have unequal denominators, 1/2 minus 1/83 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/83 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 83. 166 is the LCM of 2 and 83. Multiplying the LCM 166 with the numerators and denominators of both fractions (1/2 x 166/166) - (1/83 x 166/166), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 83/166 and for 1/83 is 2/166. By simplifying this fraction subtraction 83/166 - 2/166, it becomes 81/166.

Pie Chart Representation: 1/2 - 1/83 = 81/166

CALCULATION: 1/2 - 1/83 as a fraction
1/2 - 1/83 = (?)
1/2 - 1/83 = [(1 x 83) - (1 x 2)]/(2 x 83)
= (83 - 2)/166
= 81/166
1/2 - 1/83 = 81/166
1/2 minus 1/83 as a fraction is 81/166.

where
1/2 is a proper fraction as a minuend,
1/83 is a proper fraction as a subtrahend,
81/166 is the difference between 1/2 and 1/83.

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1/2 minus 1/83 as a decimal
1/2 - 1/83 = 81/166
81/166 = 0.488
(1/2) - (1/83) as a decimal is 0.488

where
0.488 is the difference between 1/2 and 1/83.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/83 from 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 1/83.
1. LCM method
2. Cross multiplication method.

(1/2) - (1/83) using LCM Method:
What is 1/2 minus 1/83 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/83

What to be found?
(1/2) - (1/83) = ?
Find what's the difference between 1/2 and 1/83.

step 2 Compare the denominators of fractions 1/2 and 1/83 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 1/83 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 1/2 and 1/83:
The LCM of 2 and 83 is 166.

step 4 Write the fractions 1/2 and 1/83 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 - 1/83
= [(1 x 166)/(2 x 166)] - [(1 x 166)/(83 x 166)]

step 5 Simplify the expression to have common denominator:
= 83/166 - 2/166

step 6 Take the common values out and rewrite the above expression like the below:
= 1/166 x (83/1 - 2/1)
= 1/166 x (83 - 2)

step 7Simplify the above expression further:
= 1/166 x 81
= 81/166
1/2 - 1/83 = 81/166

Hence,
1/2 minus 1/83 as a fraction is 81/166.

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1/2 - 1/83 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/83

What to be found?
(1/2)-(1/83) = ?
Find what's the difference between 1/2 and 1/83.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 83), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 83) and rewrite the equation as like the below:
= (1 x 83) - (1 x 2)/(2 x 83)

step 3 Simplify and rewrite the fraction:
= (83 - 2)/166
1/2 - 1/83 = 81/166

Hence,
1/2 minus 1/83 in fraction is 81/166