15/242 added to 3/2 in Fraction Form

The result of 15/242 added to 3/2 is: 1 68/121

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15242 and 32.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 242 and 2 is 242.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15242 to 15242
Convert 32 to 363242

Step 4: Add the Numerators

Add the numerators: 15 + 363 = 378

Step 5: Simplify the Fraction

We can simplify 378242 to its lowest form.
The greatest common divisor (GCD) of 378 and 242 is 2.
Dividing both numerator and denominator by the GCD, we get 189121.

Step 6: Convert to Mixed Number

The fraction 189121 can be written as the mixed number 168121.

Final Answer

The result of 15/242 added to 3/2 is:

15242+32=168121

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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