5/253 added to 27/3 in Fraction Form

The result of 5/253 added to 27/3 is: 9 5/253

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5253 and 273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 253 and 3 is 759.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5253 to 15759
Convert 273 to 6831759

Step 4: Add the Numerators

Add the numerators: 15 + 6831 = 6846

Step 5: Simplify the Fraction

We can simplify 6846759 to its lowest form.
The greatest common divisor (GCD) of 6846 and 759 is 3.
Dividing both numerator and denominator by the GCD, we get 2282253.

Step 6: Convert to Mixed Number

The fraction 2282253 can be written as the mixed number 95253.

Final Answer

The result of 5/253 added to 27/3 is:

5253+273=95253

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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