127/101 added to 110/2 in Fraction Form

The result of 127/101 added to 110/2 is: 56 26/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127101 and 1102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127101 to 254202
Convert 1102 to 11110202

Step 4: Add the Numerators

Add the numerators: 254 + 11110 = 11364

Step 5: Simplify the Fraction

We can simplify 11364202 to its lowest form.
The greatest common divisor (GCD) of 11364 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 5682101.

Step 6: Convert to Mixed Number

The fraction 5682101 can be written as the mixed number 5626101.

Final Answer

The result of 127/101 added to 110/2 is:

127101+1102=5626101

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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