77/201 added to 10/2 in Fraction Form

The result of 77/201 added to 10/2 is: 5 77/201

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 77201 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 2 is 402.

Step 3: Convert Fractions to Equivalent Fractions

Convert 77201 to 154402
Convert 102 to 2010402

Step 4: Add the Numerators

Add the numerators: 154 + 2010 = 2164

Step 5: Simplify the Fraction

We can simplify 2164402 to its lowest form.
The greatest common divisor (GCD) of 2164 and 402 is 2.
Dividing both numerator and denominator by the GCD, we get 1082201.

Step 6: Convert to Mixed Number

The fraction 1082201 can be written as the mixed number 577201.

Final Answer

The result of 77/201 added to 10/2 is:

77201+102=577201

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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