24/4 subtracted by 21/3 in Fraction Form

The result of 24/4 subtracted by 21/3 is: -1

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 213 from 244.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 4 and 3 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 244 to 7212
Convert 213 to 8412

Step 4: Subtract the Numerators

Subtract the numerators: 72 - 84 = -12

Step 5: Simplify the Fraction

We can simplify 1212 to its lowest form.
The greatest common divisor (GCD) of -12 and 12 is 12.
Dividing both numerator and denominator by the GCD, we get 11.

Final Answer

The result of 24/4 subtracted by 21/3 is:

244213=1

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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