10/233 added to 10/2 in Fraction Form

The result of 10/233 added to 10/2 is: 5 10/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10233 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 2 is 466.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10233 to 20466
Convert 102 to 2330466

Step 4: Add the Numerators

Add the numerators: 20 + 2330 = 2350

Step 5: Simplify the Fraction

We can simplify 2350466 to its lowest form.
The greatest common divisor (GCD) of 2350 and 466 is 2.
Dividing both numerator and denominator by the GCD, we get 1175233.

Step 6: Convert to Mixed Number

The fraction 1175233 can be written as the mixed number 510233.

Final Answer

The result of 10/233 added to 10/2 is:

10233+102=510233

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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