127/11 subtracted by 146/4 in Fraction Form

The result of 127/11 subtracted by 146/4 is: -25 1/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 1464 from 12711.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 11 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12711 to 50844
Convert 1464 to 160644

Step 4: Subtract the Numerators

Subtract the numerators: 508 - 1606 = -1098

Step 5: Simplify the Fraction

We can simplify 109844 to its lowest form.
The greatest common divisor (GCD) of -1098 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 54922.

Step 6: Convert to Mixed Number

The fraction 54922 can be written as the mixed number 25122.

Final Answer

The result of 127/11 subtracted by 146/4 is:

127111464=25122

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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