46/201 added to 10/4 in Fraction Form

The result of 46/201 added to 10/4 is: 2 293/402

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 46201 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 4 is 804.

Step 3: Convert Fractions to Equivalent Fractions

Convert 46201 to 184804
Convert 104 to 2010804

Step 4: Add the Numerators

Add the numerators: 184 + 2010 = 2194

Step 5: Simplify the Fraction

We can simplify 2194804 to its lowest form.
The greatest common divisor (GCD) of 2194 and 804 is 2.
Dividing both numerator and denominator by the GCD, we get 1097402.

Step 6: Convert to Mixed Number

The fraction 1097402 can be written as the mixed number 2293402.

Final Answer

The result of 46/201 added to 10/4 is:

46201+104=2293402

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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