127/4 subtracted by 99/6 in Fraction Form

The result of 127/4 subtracted by 99/6 is: 15 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 996 from 1274.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 4 and 6 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1274 to 38112
Convert 996 to 19812

Step 4: Subtract the Numerators

Subtract the numerators: 381 - 198 = 183

Step 5: Simplify the Fraction

We can simplify 18312 to its lowest form.
The greatest common divisor (GCD) of 183 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get 614.

Step 6: Convert to Mixed Number

The fraction 614 can be written as the mixed number 1514.

Final Answer

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

1274996=1514

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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