2/217 added to 10/2 in Fraction Form

The result of 2/217 added to 10/2 is: 5 2/217

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2217 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 217 and 2 is 434.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2217 to 4434
Convert 102 to 2170434

Step 4: Add the Numerators

Add the numerators: 4 + 2170 = 2174

Step 5: Simplify the Fraction

We can simplify 2174434 to its lowest form.
The greatest common divisor (GCD) of 2174 and 434 is 2.
Dividing both numerator and denominator by the GCD, we get 1087217.

Step 6: Convert to Mixed Number

The fraction 1087217 can be written as the mixed number 52217.

Final Answer

The result of 2/217 added to 10/2 is:

2217+102=52217

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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