201/77 added to 6/4 in Fraction Form

The result of 201/77 added to 6/4 is: 4 17/154

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20177 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 77 and 4 is 308.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20177 to 804308
Convert 64 to 462308

Step 4: Add the Numerators

Add the numerators: 804 + 462 = 1266

Step 5: Simplify the Fraction

We can simplify 1266308 to its lowest form.
The greatest common divisor (GCD) of 1266 and 308 is 2.
Dividing both numerator and denominator by the GCD, we get 633154.

Step 6: Convert to Mixed Number

The fraction 633154 can be written as the mixed number 417154.

Final Answer

The result of 201/77 added to 6/4 is:

20177+64=417154

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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