127/125 added to 57/3 in Fraction Form

The result of 127/125 added to 57/3 is: 20 2/125

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127125 and 573.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 125 and 3 is 375.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127125 to 381375
Convert 573 to 7125375

Step 4: Add the Numerators

Add the numerators: 381 + 7125 = 7506

Step 5: Simplify the Fraction

We can simplify 7506375 to its lowest form.
The greatest common divisor (GCD) of 7506 and 375 is 3.
Dividing both numerator and denominator by the GCD, we get 2502125.

Step 6: Convert to Mixed Number

The fraction 2502125 can be written as the mixed number 202125.

Final Answer

The result of 127/125 added to 57/3 is:

127125+573=202125

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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