30/213 added to 4/6 in Fraction Form

The result of 30/213 added to 4/6 is: 172/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30213 and 46.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30213 to 60426
Convert 46 to 284426

Step 4: Add the Numerators

Add the numerators: 60 + 284 = 344

Step 5: Simplify the Fraction

We can simplify 344426 to its lowest form.
The greatest common divisor (GCD) of 344 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 172213.

Final Answer

The result of 30/213 added to 4/6 is:

30213+46=172213

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).

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