38/213 added to 58/2 in Fraction Form

The result of 38/213 added to 58/2 is: 29 38/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38213 and 582.

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 38213 to 76426
Convert 582 to 12354426

Step 4: Add the Numerators

Add the numerators: 76 + 12354 = 12430

Step 5: Simplify the Fraction

We can simplify 12430426 to its lowest form.
The greatest common divisor (GCD) of 12430 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 6215213.

Step 6: Convert to Mixed Number

The fraction 6215213 can be written as the mixed number 2938213.

Final Answer

The result of 38/213 added to 58/2 is:

38213+582=2938213

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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