18/213 added to 75/2 in Fraction Form

The result of 18/213 added to 75/2 is: 37 83/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18213 and 752.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 2 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18213 to 36426
Convert 752 to 15975426

Step 4: Add the Numerators

Add the numerators: 36 + 15975 = 16011

Step 5: Simplify the Fraction

We can simplify 16011426 to its lowest form.
The greatest common divisor (GCD) of 16011 and 426 is 3.
Dividing both numerator and denominator by the GCD, we get 5337142.

Step 6: Convert to Mixed Number

The fraction 5337142 can be written as the mixed number 3783142.

Final Answer

The result of 18/213 added to 75/2 is:

18213+752=3783142

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

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