16/213 added to 68/4 in Fraction Form

The result of 16/213 added to 68/4 is: 17 16/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16213 and 684.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16213 to 64852
Convert 684 to 14484852

Step 4: Add the Numerators

Add the numerators: 64 + 14484 = 14548

Step 5: Simplify the Fraction

We can simplify 14548852 to its lowest form.
The greatest common divisor (GCD) of 14548 and 852 is 4.
Dividing both numerator and denominator by the GCD, we get 3637213.

Step 6: Convert to Mixed Number

The fraction 3637213 can be written as the mixed number 1716213.

Final Answer

The result of 16/213 added to 68/4 is:

16213+684=1716213

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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