49/181 added to 102/2 in Fraction Form

The result of 49/181 added to 102/2 is: 51 49/181

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 49181 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 181 and 2 is 362.

Step 3: Convert Fractions to Equivalent Fractions

Convert 49181 to 98362
Convert 1022 to 18462362

Step 4: Add the Numerators

Add the numerators: 98 + 18462 = 18560

Step 5: Simplify the Fraction

We can simplify 18560362 to its lowest form.
The greatest common divisor (GCD) of 18560 and 362 is 2.
Dividing both numerator and denominator by the GCD, we get 9280181.

Step 6: Convert to Mixed Number

The fraction 9280181 can be written as the mixed number 5149181.

Final Answer

The result of 49/181 added to 102/2 is:

49181+1022=5149181

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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