53/81 added to 112/4 in Fraction Form

The result of 53/81 added to 112/4 is: 28 53/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5381 and 1124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5381 to 212324
Convert 1124 to 9072324

Step 4: Add the Numerators

Add the numerators: 212 + 9072 = 9284

Step 5: Simplify the Fraction

We can simplify 9284324 to its lowest form.
The greatest common divisor (GCD) of 9284 and 324 is 4.
Dividing both numerator and denominator by the GCD, we get 232181.

Step 6: Convert to Mixed Number

The fraction 232181 can be written as the mixed number 285381.

Final Answer

The result of 53/81 added to 112/4 is:

5381+1124=285381

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: