21/214 added to 82/4 in Fraction Form

The result of 21/214 added to 82/4 is: 20 64/107

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21214 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 4 is 428.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21214 to 42428
Convert 824 to 8774428

Step 4: Add the Numerators

Add the numerators: 42 + 8774 = 8816

Step 5: Simplify the Fraction

We can simplify 8816428 to its lowest form.
The greatest common divisor (GCD) of 8816 and 428 is 4.
Dividing both numerator and denominator by the GCD, we get 2204107.

Step 6: Convert to Mixed Number

The fraction 2204107 can be written as the mixed number 2064107.

Final Answer

The result of 21/214 added to 82/4 is:

21214+824=2064107

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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