15/207 added to 32/3 in Fraction Form

The result of 15/207 added to 32/3 is: 10 17/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15207 and 323.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 3 is 207.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15207 to 15207
Convert 323 to 2208207

Step 4: Add the Numerators

Add the numerators: 15 + 2208 = 2223

Step 5: Simplify the Fraction

We can simplify 2223207 to its lowest form.
The greatest common divisor (GCD) of 2223 and 207 is 9.
Dividing both numerator and denominator by the GCD, we get 24723.

Step 6: Convert to Mixed Number

The fraction 24723 can be written as the mixed number 101723.

Final Answer

The result of 15/207 added to 32/3 is:

15207+323=101723

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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