202/113 added to 4/2 in Fraction Form

The result of 202/113 added to 4/2 is: 3 89/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 202113 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 113 and 2 is 226.

Step 3: Convert Fractions to Equivalent Fractions

Convert 202113 to 404226
Convert 42 to 452226

Step 4: Add the Numerators

Add the numerators: 404 + 452 = 856

Step 5: Simplify the Fraction

We can simplify 856226 to its lowest form.
The greatest common divisor (GCD) of 856 and 226 is 2.
Dividing both numerator and denominator by the GCD, we get 428113.

Step 6: Convert to Mixed Number

The fraction 428113 can be written as the mixed number 389113.

Final Answer

The result of 202/113 added to 4/2 is:

202113+42=389113

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: