127/125 added to 21/6 in Fraction Form

The result of 127/125 added to 21/6 is: 4 129/250

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127125 and 216.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 125 and 6 is 750.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127125 to 762750
Convert 216 to 2625750

Step 4: Add the Numerators

Add the numerators: 762 + 2625 = 3387

Step 5: Simplify the Fraction

We can simplify 3387750 to its lowest form.
The greatest common divisor (GCD) of 3387 and 750 is 3.
Dividing both numerator and denominator by the GCD, we get 1129250.

Step 6: Convert to Mixed Number

The fraction 1129250 can be written as the mixed number 4129250.

Final Answer

The result of 127/125 added to 21/6 is:

127125+216=4129250

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).

Fraction Calculator

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