86/101 added to 16/4 in Fraction Form

The result of 86/101 added to 16/4 is: 4 86/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 86101 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 86101 to 344404
Convert 164 to 1616404

Step 4: Add the Numerators

Add the numerators: 344 + 1616 = 1960

Step 5: Simplify the Fraction

We can simplify 1960404 to its lowest form.
The greatest common divisor (GCD) of 1960 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 490101.

Step 6: Convert to Mixed Number

The fraction 490101 can be written as the mixed number 486101.

Final Answer

The result of 86/101 added to 16/4 is:

86101+164=486101

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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