2/76 added to 228/3 in Fraction Form

The result of 2/76 added to 228/3 is: 76 1/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 276 and 2283.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 76 and 3 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 276 to 6228
Convert 2283 to 17328228

Step 4: Add the Numerators

Add the numerators: 6 + 17328 = 17334

Step 5: Simplify the Fraction

We can simplify 17334228 to its lowest form.
The greatest common divisor (GCD) of 17334 and 228 is 6.
Dividing both numerator and denominator by the GCD, we get 288938.

Step 6: Convert to Mixed Number

The fraction 288938 can be written as the mixed number 76138.

Final Answer

The result of 2/76 added to 228/3 is:

276+2283=76138

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: