210/83 added to 16/4 in Fraction Form

The result of 210/83 added to 16/4 is: 6 44/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21083 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21083 to 840332
Convert 164 to 1328332

Step 4: Add the Numerators

Add the numerators: 840 + 1328 = 2168

Step 5: Simplify the Fraction

We can simplify 2168332 to its lowest form.
The greatest common divisor (GCD) of 2168 and 332 is 4.
Dividing both numerator and denominator by the GCD, we get 54283.

Step 6: Convert to Mixed Number

The fraction 54283 can be written as the mixed number 64483.

Final Answer

The result of 210/83 added to 16/4 is:

21083+164=64483

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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