32/53 added to 228/4 in Fraction Form

The result of 32/53 added to 228/4 is: 57 32/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3253 and 2284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3253 to 128212
Convert 2284 to 12084212

Step 4: Add the Numerators

Add the numerators: 128 + 12084 = 12212

Step 5: Simplify the Fraction

We can simplify 12212212 to its lowest form.
The greatest common divisor (GCD) of 12212 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get 305353.

Step 6: Convert to Mixed Number

The fraction 305353 can be written as the mixed number 573253.

Final Answer

The result of 32/53 added to 228/4 is:

3253+2284=573253

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: