79/213 added to 24/4 in Fraction Form

The result of 79/213 added to 24/4 is: 6 79/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 79213 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 79213 to 316852
Convert 244 to 5112852

Step 4: Add the Numerators

Add the numerators: 316 + 5112 = 5428

Step 5: Simplify the Fraction

We can simplify 5428852 to its lowest form.
The greatest common divisor (GCD) of 5428 and 852 is 4.
Dividing both numerator and denominator by the GCD, we get 1357213.

Step 6: Convert to Mixed Number

The fraction 1357213 can be written as the mixed number 679213.

Final Answer

The result of 79/213 added to 24/4 is:

79213+244=679213

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).

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