72/213 added to 12/4 in Fraction Form

The result of 72/213 added to 12/4 is: 3 24/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72213 and 124.

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 72213 to 288852
Convert 124 to 2556852

Step 4: Add the Numerators

Add the numerators: 288 + 2556 = 2844

Step 5: Simplify the Fraction

We can simplify 2844852 to its lowest form.
The greatest common divisor (GCD) of 2844 and 852 is 12.
Dividing both numerator and denominator by the GCD, we get 23771.

Step 6: Convert to Mixed Number

The fraction 23771 can be written as the mixed number 32471.

Final Answer

The result of 72/213 added to 12/4 is:

72213+124=32471

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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