177/127 added to 9/3 in Fraction Form

The result of 177/127 added to 9/3 is: 4 50/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 177127 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 177127 to 531381
Convert 93 to 1143381

Step 4: Add the Numerators

Add the numerators: 531 + 1143 = 1674

Step 5: Simplify the Fraction

We can simplify 1674381 to its lowest form.
The greatest common divisor (GCD) of 1674 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 558127.

Step 6: Convert to Mixed Number

The fraction 558127 can be written as the mixed number 450127.

Final Answer

The result of 177/127 added to 9/3 is:

177127+93=450127

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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