12/40 added to 228/4 in Fraction Form

The result of 12/40 added to 228/4 is: 57 3/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1240 and 2284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 4 is 40.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1240 to 1240
Convert 2284 to 228040

Step 4: Add the Numerators

Add the numerators: 12 + 2280 = 2292

Step 5: Simplify the Fraction

We can simplify 229240 to its lowest form.
The greatest common divisor (GCD) of 2292 and 40 is 4.
Dividing both numerator and denominator by the GCD, we get 57310.

Step 6: Convert to Mixed Number

The fraction 57310 can be written as the mixed number 57310.

Final Answer

The result of 12/40 added to 228/4 is:

1240+2284=57310

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: