183/102 added to 5/2 in Fraction Form

The result of 183/102 added to 5/2 is: 4 5/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 183102 and 52.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 183102 to 183102
Convert 52 to 255102

Step 4: Add the Numerators

Add the numerators: 183 + 255 = 438

Step 5: Simplify the Fraction

We can simplify 438102 to its lowest form.
The greatest common divisor (GCD) of 438 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 7317.

Step 6: Convert to Mixed Number

The fraction 7317 can be written as the mixed number 4517.

Final Answer

The result of 183/102 added to 5/2 is:

183102+52=4517

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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