127/113 added to 60/4 in Fraction Form

The result of 127/113 added to 60/4 is: 16 14/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127113 and 604.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 113 and 4 is 452.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127113 to 508452
Convert 604 to 6780452

Step 4: Add the Numerators

Add the numerators: 508 + 6780 = 7288

Step 5: Simplify the Fraction

We can simplify 7288452 to its lowest form.
The greatest common divisor (GCD) of 7288 and 452 is 4.
Dividing both numerator and denominator by the GCD, we get 1822113.

Step 6: Convert to Mixed Number

The fraction 1822113 can be written as the mixed number 1614113.

Final Answer

The result of 127/113 added to 60/4 is:

127113+604=1614113

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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