2/5 added to 204/3 in Fraction Form

The result of 2/5 added to 204/3 is: 68 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25 and 2043.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert 25 to 615
Convert 2043 to 102015

Step 4: Add the Numerators

Add the numerators: 6 + 1020 = 1026

Step 5: Simplify the Fraction

We can simplify 102615 to its lowest form.
The greatest common divisor (GCD) of 1026 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get 3425.

Step 6: Convert to Mixed Number

The fraction 3425 can be written as the mixed number 6825.

Final Answer

The result of 2/5 added to 204/3 is:

25+2043=6825

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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