2/213 added to 46/2 in Fraction Form

The result of 2/213 added to 46/2 is: 23 2/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2213 and 462.

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 2213 to 4426
Convert 462 to 9798426

Step 4: Add the Numerators

Add the numerators: 4 + 9798 = 9802

Step 5: Simplify the Fraction

We can simplify 9802426 to its lowest form.
The greatest common divisor (GCD) of 9802 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 4901213.

Step 6: Convert to Mixed Number

The fraction 4901213 can be written as the mixed number 232213.

Final Answer

The result of 2/213 added to 46/2 is:

2213+462=232213

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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