1/213 added to 64/3 in Fraction Form

The result of 1/213 added to 64/3 is: 21 24/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1213 and 643.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1213 to 1213
Convert 643 to 4544213

Step 4: Add the Numerators

Add the numerators: 1 + 4544 = 4545

Step 5: Simplify the Fraction

We can simplify 4545213 to its lowest form.
The greatest common divisor (GCD) of 4545 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 151571.

Step 6: Convert to Mixed Number

The fraction 151571 can be written as the mixed number 212471.

Final Answer

The result of 1/213 added to 64/3 is:

1213+643=212471

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).

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