15/235 added to 8/2 in Fraction Form

The result of 15/235 added to 8/2 is: 4 3/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15235 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 2 is 470.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15235 to 30470
Convert 82 to 1880470

Step 4: Add the Numerators

Add the numerators: 30 + 1880 = 1910

Step 5: Simplify the Fraction

We can simplify 1910470 to its lowest form.
The greatest common divisor (GCD) of 1910 and 470 is 10.
Dividing both numerator and denominator by the GCD, we get 19147.

Step 6: Convert to Mixed Number

The fraction 19147 can be written as the mixed number 4347.

Final Answer

The result of 15/235 added to 8/2 is:

15235+82=4347

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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