127/82 subtracted by 99/2 in Fraction Form

The result of 127/82 subtracted by 99/2 is: -48 2/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 992 from 12782.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 82 and 2 is 82.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12782 to 12782
Convert 992 to 405982

Step 4: Subtract the Numerators

Subtract the numerators: 127 - 4059 = -3932

Step 5: Simplify the Fraction

We can simplify 393282 to its lowest form.
The greatest common divisor (GCD) of -3932 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 196641.

Step 6: Convert to Mixed Number

The fraction 196641 can be written as the mixed number 48241.

Final Answer

The result of 127/82 subtracted by 99/2 is:

12782992=48241

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

abcd=adbcbd (when denominators are different)

Or simply abcb=acb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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