21/223 added to 30/4 in Fraction Form

The result of 21/223 added to 30/4 is: 7 265/446

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21223 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 223 and 4 is 892.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21223 to 84892
Convert 304 to 6690892

Step 4: Add the Numerators

Add the numerators: 84 + 6690 = 6774

Step 5: Simplify the Fraction

We can simplify 6774892 to its lowest form.
The greatest common divisor (GCD) of 6774 and 892 is 2.
Dividing both numerator and denominator by the GCD, we get 3387446.

Step 6: Convert to Mixed Number

The fraction 3387446 can be written as the mixed number 7265446.

Final Answer

The result of 21/223 added to 30/4 is:

21223+304=7265446

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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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