112/101 added to 128/2 in Fraction Form

The result of 112/101 added to 128/2 is: 65 11/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 112101 and 1282.

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 112101 to 224202
Convert 1282 to 12928202

Step 4: Add the Numerators

Add the numerators: 224 + 12928 = 13152

Step 5: Simplify the Fraction

We can simplify 13152202 to its lowest form.
The greatest common divisor (GCD) of 13152 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 6576101.

Step 6: Convert to Mixed Number

The fraction 6576101 can be written as the mixed number 6511101.

Final Answer

The result of 112/101 added to 128/2 is:

112101+1282=6511101

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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