201/90 added to 16/4 in Fraction Form

The result of 201/90 added to 16/4 is: 6 7/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20190 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 90 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20190 to 402180
Convert 164 to 720180

Step 4: Add the Numerators

Add the numerators: 402 + 720 = 1122

Step 5: Simplify the Fraction

We can simplify 1122180 to its lowest form.
The greatest common divisor (GCD) of 1122 and 180 is 6.
Dividing both numerator and denominator by the GCD, we get 18730.

Step 6: Convert to Mixed Number

The fraction 18730 can be written as the mixed number 6730.

Final Answer

The result of 201/90 added to 16/4 is:

20190+164=6730

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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