25/213 added to 76/3 in Fraction Form

The result of 25/213 added to 76/3 is: 25 32/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25213 and 763.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 25213 to 25213
Convert 763 to 5396213

Step 4: Add the Numerators

Add the numerators: 25 + 5396 = 5421

Step 5: Simplify the Fraction

We can simplify 5421213 to its lowest form.
The greatest common divisor (GCD) of 5421 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 180771.

Step 6: Convert to Mixed Number

The fraction 180771 can be written as the mixed number 253271.

Final Answer

The result of 25/213 added to 76/3 is:

25213+763=253271

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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