10/223 added to 15/6 in Fraction Form

The result of 10/223 added to 15/6 is: 2 243/446

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10223 and 156.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 223 and 6 is 1338.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10223 to 601338
Convert 156 to 33451338

Step 4: Add the Numerators

Add the numerators: 60 + 3345 = 3405

Step 5: Simplify the Fraction

We can simplify 34051338 to its lowest form.
The greatest common divisor (GCD) of 3405 and 1338 is 3.
Dividing both numerator and denominator by the GCD, we get 1135446.

Step 6: Convert to Mixed Number

The fraction 1135446 can be written as the mixed number 2243446.

Final Answer

The result of 10/223 added to 15/6 is:

10223+156=2243446

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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