21/251 added to 10/2 in Fraction Form

The result of 21/251 added to 10/2 is: 5 21/251

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21251 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 251 and 2 is 502.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21251 to 42502
Convert 102 to 2510502

Step 4: Add the Numerators

Add the numerators: 42 + 2510 = 2552

Step 5: Simplify the Fraction

We can simplify 2552502 to its lowest form.
The greatest common divisor (GCD) of 2552 and 502 is 2.
Dividing both numerator and denominator by the GCD, we get 1276251.

Step 6: Convert to Mixed Number

The fraction 1276251 can be written as the mixed number 521251.

Final Answer

The result of 21/251 added to 10/2 is:

21251+102=521251

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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