6/99 subtracted by 127/4 in Fraction Form

The result of 6/99 subtracted by 127/4 is: -32 41/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 1274 from 699.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 699 to 24396
Convert 1274 to 12573396

Step 4: Subtract the Numerators

Subtract the numerators: 24 - 12573 = -12549

Step 5: Simplify the Fraction

We can simplify 12549396 to its lowest form.
The greatest common divisor (GCD) of -12549 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 4183132.

Step 6: Convert to Mixed Number

The fraction 4183132 can be written as the mixed number 3241132.

Final Answer

The result of 6/99 subtracted by 127/4 is:

6991274=3241132

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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