20/25 added to 201/3 in Fraction Form

The result of 20/25 added to 201/3 is: 67 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2025 and 2013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 25 and 3 is 75.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2025 to 6075
Convert 2013 to 502575

Step 4: Add the Numerators

Add the numerators: 60 + 5025 = 5085

Step 5: Simplify the Fraction

We can simplify 508575 to its lowest form.
The greatest common divisor (GCD) of 5085 and 75 is 15.
Dividing both numerator and denominator by the GCD, we get 3395.

Step 6: Convert to Mixed Number

The fraction 3395 can be written as the mixed number 6745.

Final Answer

The result of 20/25 added to 201/3 is:

2025+2013=6745

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

Calculate operations between any two fractions: