23/102 added to 207/2 in Fraction Form

The result of 23/102 added to 207/2 is: 103 37/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23102 and 2072.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23102 to 23102
Convert 2072 to 10557102

Step 4: Add the Numerators

Add the numerators: 23 + 10557 = 10580

Step 5: Simplify the Fraction

We can simplify 10580102 to its lowest form.
The greatest common divisor (GCD) of 10580 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 529051.

Step 6: Convert to Mixed Number

The fraction 529051 can be written as the mixed number 1033751.

Final Answer

The result of 23/102 added to 207/2 is:

23102+2072=1033751

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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