64/213 added to 7/3 in Fraction Form

The result of 64/213 added to 7/3 is: 2 45/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64213 and 73.

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 64213 to 64213
Convert 73 to 497213

Step 4: Add the Numerators

Add the numerators: 64 + 497 = 561

Step 5: Simplify the Fraction

We can simplify 561213 to its lowest form.
The greatest common divisor (GCD) of 561 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 18771.

Step 6: Convert to Mixed Number

The fraction 18771 can be written as the mixed number 24571.

Final Answer

The result of 64/213 added to 7/3 is:

64213+73=24571

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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