105/127 added to 48/3 in Fraction Form

The result of 105/127 added to 48/3 is: 16 105/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 105127 and 483.

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 105127 to 315381
Convert 483 to 6096381

Step 4: Add the Numerators

Add the numerators: 315 + 6096 = 6411

Step 5: Simplify the Fraction

We can simplify 6411381 to its lowest form.
The greatest common divisor (GCD) of 6411 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 2137127.

Step 6: Convert to Mixed Number

The fraction 2137127 can be written as the mixed number 16105127.

Final Answer

The result of 105/127 added to 48/3 is:

105127+483=16105127

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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