179/127 added to 28/2 in Fraction Form

The result of 179/127 added to 28/2 is: 15 52/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 179127 and 282.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 179127 to 358254
Convert 282 to 3556254

Step 4: Add the Numerators

Add the numerators: 358 + 3556 = 3914

Step 5: Simplify the Fraction

We can simplify 3914254 to its lowest form.
The greatest common divisor (GCD) of 3914 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 1957127.

Step 6: Convert to Mixed Number

The fraction 1957127 can be written as the mixed number 1552127.

Final Answer

The result of 179/127 added to 28/2 is:

179127+282=1552127

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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