4/169 added to 102/2 in Fraction Form

The result of 4/169 added to 102/2 is: 51 4/169

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4169 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 169 and 2 is 338.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4169 to 8338
Convert 1022 to 17238338

Step 4: Add the Numerators

Add the numerators: 8 + 17238 = 17246

Step 5: Simplify the Fraction

We can simplify 17246338 to its lowest form.
The greatest common divisor (GCD) of 17246 and 338 is 2.
Dividing both numerator and denominator by the GCD, we get 8623169.

Step 6: Convert to Mixed Number

The fraction 8623169 can be written as the mixed number 514169.

Final Answer

The result of 4/169 added to 102/2 is:

4169+1022=514169

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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