30/201 added to 71/4 in Fraction Form

The result of 30/201 added to 71/4 is: 17 241/268

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30201 and 714.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 4 is 804.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30201 to 120804
Convert 714 to 14271804

Step 4: Add the Numerators

Add the numerators: 120 + 14271 = 14391

Step 5: Simplify the Fraction

We can simplify 14391804 to its lowest form.
The greatest common divisor (GCD) of 14391 and 804 is 3.
Dividing both numerator and denominator by the GCD, we get 4797268.

Step 6: Convert to Mixed Number

The fraction 4797268 can be written as the mixed number 17241268.

Final Answer

The result of 30/201 added to 71/4 is:

30201+714=17241268

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: