7/109 added to 20/2 in Fraction Form

The result of 7/109 added to 20/2 is: 10 7/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7109 and 202.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 2 is 218.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7109 to 14218
Convert 202 to 2180218

Step 4: Add the Numerators

Add the numerators: 14 + 2180 = 2194

Step 5: Simplify the Fraction

We can simplify 2194218 to its lowest form.
The greatest common divisor (GCD) of 2194 and 218 is 2.
Dividing both numerator and denominator by the GCD, we get 1097109.

Step 6: Convert to Mixed Number

The fraction 1097109 can be written as the mixed number 107109.

Final Answer

The result of 7/109 added to 20/2 is:

7109+202=107109

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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