201/49 added to 60/4 in Fraction Form

The result of 201/49 added to 60/4 is: 19 5/49

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20149 and 604.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 4 is 196.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20149 to 804196
Convert 604 to 2940196

Step 4: Add the Numerators

Add the numerators: 804 + 2940 = 3744

Step 5: Simplify the Fraction

We can simplify 3744196 to its lowest form.
The greatest common divisor (GCD) of 3744 and 196 is 4.
Dividing both numerator and denominator by the GCD, we get 93649.

Step 6: Convert to Mixed Number

The fraction 93649 can be written as the mixed number 19549.

Final Answer

The result of 201/49 added to 60/4 is:

20149+604=19549

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: