15/253 added to 8/2 in Fraction Form

The result of 15/253 added to 8/2 is: 4 15/253

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15253 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 253 and 2 is 506.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15253 to 30506
Convert 82 to 2024506

Step 4: Add the Numerators

Add the numerators: 30 + 2024 = 2054

Step 5: Simplify the Fraction

We can simplify 2054506 to its lowest form.
The greatest common divisor (GCD) of 2054 and 506 is 2.
Dividing both numerator and denominator by the GCD, we get 1027253.

Step 6: Convert to Mixed Number

The fraction 1027253 can be written as the mixed number 415253.

Final Answer

The result of 15/253 added to 8/2 is:

15253+82=415253

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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