137/127 added to 48/3 in Fraction Form

The result of 137/127 added to 48/3 is: 17 10/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 137127 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 137127 to 411381
Convert 483 to 6096381

Step 4: Add the Numerators

Add the numerators: 411 + 6096 = 6507

Step 5: Simplify the Fraction

We can simplify 6507381 to its lowest form.
The greatest common divisor (GCD) of 6507 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 2169127.

Step 6: Convert to Mixed Number

The fraction 2169127 can be written as the mixed number 1710127.

Final Answer

The result of 137/127 added to 48/3 is:

137127+483=1710127

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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