5/253 added to 24/3 in Fraction Form

The result of 5/253 added to 24/3 is: 8 5/253

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5253 and 243.

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 243 to 6072759

Step 4: Add the Numerators

Add the numerators: 15 + 6072 = 6087

Step 5: Simplify the Fraction

We can simplify 6087759 to its lowest form.
The greatest common divisor (GCD) of 6087 and 759 is 3.
Dividing both numerator and denominator by the GCD, we get 2029253.

Step 6: Convert to Mixed Number

The fraction 2029253 can be written as the mixed number 85253.

Final Answer

The result of 5/253 added to 24/3 is:

5253+243=85253

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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