15/237 added to 7/2 in Fraction Form

The result of 15/237 added to 7/2 is: 3 89/158

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15237 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 2 is 474.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15237 to 30474
Convert 72 to 1659474

Step 4: Add the Numerators

Add the numerators: 30 + 1659 = 1689

Step 5: Simplify the Fraction

We can simplify 1689474 to its lowest form.
The greatest common divisor (GCD) of 1689 and 474 is 3.
Dividing both numerator and denominator by the GCD, we get 563158.

Step 6: Convert to Mixed Number

The fraction 563158 can be written as the mixed number 389158.

Final Answer

The result of 15/237 added to 7/2 is:

15237+72=389158

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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