13/127 subtracted by 102/3 in Fraction Form

The result of 13/127 subtracted by 102/3 is: -34 13/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 1023 from 13127.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13127 to 39381
Convert 1023 to 12954381

Step 4: Subtract the Numerators

Subtract the numerators: 39 - 12954 = -12915

Step 5: Simplify the Fraction

We can simplify 12915381 to its lowest form.
The greatest common divisor (GCD) of -12915 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 4305127.

Step 6: Convert to Mixed Number

The fraction 4305127 can be written as the mixed number 3413127.

Final Answer

The result of 13/127 subtracted by 102/3 is:

131271023=3413127

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).

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