19/8 subtracted by 6/3 in Fraction Form

The result of 19/8 subtracted by 6/3 is: 3/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 63 from 198.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 198 to 5724
Convert 63 to 4824

Step 4: Subtract the Numerators

Subtract the numerators: 57 - 48 = 9

Step 5: Simplify the Fraction

We can simplify 924 to its lowest form.
The greatest common divisor (GCD) of 9 and 24 is 3.
Dividing both numerator and denominator by the GCD, we get 38.

Final Answer

The result of 19/8 subtracted by 6/3 is:

19863=38

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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