118/81 subtracted by 127/4 in Fraction Form

The result of 118/81 subtracted by 127/4 is: -31 229/324

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 1274 from 11881.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11881 to 472324
Convert 1274 to 10287324

Step 4: Subtract the Numerators

Subtract the numerators: 472 - 10287 = -9815

Step 5: Convert to Mixed Number

The fraction 9815324 can be written as the mixed number 31229324.

Final Answer

The result of 118/81 subtracted by 127/4 is:

118811274=31229324

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

Calculate operations between any two fractions: