112/128 added to 102/2 in Fraction Form

The result of 112/128 added to 102/2 is: 51 7/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 112128 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 128 and 2 is 128.

Step 3: Convert Fractions to Equivalent Fractions

Convert 112128 to 112128
Convert 1022 to 6528128

Step 4: Add the Numerators

Add the numerators: 112 + 6528 = 6640

Step 5: Simplify the Fraction

We can simplify 6640128 to its lowest form.
The greatest common divisor (GCD) of 6640 and 128 is 16.
Dividing both numerator and denominator by the GCD, we get 4158.

Step 6: Convert to Mixed Number

The fraction 4158 can be written as the mixed number 5178.

Final Answer

The result of 112/128 added to 102/2 is:

112128+1022=5178

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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