30/213 added to 92/2 in Fraction Form

The result of 30/213 added to 92/2 is: 46 10/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30213 and 922.

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 30213 to 60426
Convert 922 to 19596426

Step 4: Add the Numerators

Add the numerators: 60 + 19596 = 19656

Step 5: Simplify the Fraction

We can simplify 19656426 to its lowest form.
The greatest common divisor (GCD) of 19656 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 327671.

Step 6: Convert to Mixed Number

The fraction 327671 can be written as the mixed number 461071.

Final Answer

The result of 30/213 added to 92/2 is:

30213+922=461071

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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