233/15 added to 24/6 in Fraction Form

The result of 233/15 added to 24/6 is: 19 8/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23315 and 246.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 6 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23315 to 46630
Convert 246 to 12030

Step 4: Add the Numerators

Add the numerators: 466 + 120 = 586

Step 5: Simplify the Fraction

We can simplify 58630 to its lowest form.
The greatest common divisor (GCD) of 586 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 29315.

Step 6: Convert to Mixed Number

The fraction 29315 can be written as the mixed number 19815.

Final Answer

The result of 233/15 added to 24/6 is:

23315+246=19815

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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