25/127 added to 168/3 in Fraction Form

The result of 25/127 added to 168/3 is: 56 25/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25127 and 1683.

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 25127 to 75381
Convert 1683 to 21336381

Step 4: Add the Numerators

Add the numerators: 75 + 21336 = 21411

Step 5: Simplify the Fraction

We can simplify 21411381 to its lowest form.
The greatest common divisor (GCD) of 21411 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 7137127.

Step 6: Convert to Mixed Number

The fraction 7137127 can be written as the mixed number 5625127.

Final Answer

The result of 25/127 added to 168/3 is:

25127+1683=5625127

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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