10/201 added to 92/2 in Fraction Form

The result of 10/201 added to 92/2 is: 46 10/201

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10201 and 922.

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 10201 to 20402
Convert 922 to 18492402

Step 4: Add the Numerators

Add the numerators: 20 + 18492 = 18512

Step 5: Simplify the Fraction

We can simplify 18512402 to its lowest form.
The greatest common divisor (GCD) of 18512 and 402 is 2.
Dividing both numerator and denominator by the GCD, we get 9256201.

Step 6: Convert to Mixed Number

The fraction 9256201 can be written as the mixed number 4610201.

Final Answer

The result of 10/201 added to 92/2 is:

10201+922=4610201

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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