7/213 added to 64/2 in Fraction Form

The result of 7/213 added to 64/2 is: 32 7/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7213 and 642.

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 7213 to 14426
Convert 642 to 13632426

Step 4: Add the Numerators

Add the numerators: 14 + 13632 = 13646

Step 5: Simplify the Fraction

We can simplify 13646426 to its lowest form.
The greatest common divisor (GCD) of 13646 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 6823213.

Step 6: Convert to Mixed Number

The fraction 6823213 can be written as the mixed number 327213.

Final Answer

The result of 7/213 added to 64/2 is:

7213+642=327213

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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