72/208 added to 7/2 in Fraction Form

The result of 72/208 added to 7/2 is: 3 11/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72208 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 208 and 2 is 208.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72208 to 72208
Convert 72 to 728208

Step 4: Add the Numerators

Add the numerators: 72 + 728 = 800

Step 5: Simplify the Fraction

We can simplify 800208 to its lowest form.
The greatest common divisor (GCD) of 800 and 208 is 16.
Dividing both numerator and denominator by the GCD, we get 5013.

Step 6: Convert to Mixed Number

The fraction 5013 can be written as the mixed number 31113.

Final Answer

The result of 72/208 added to 7/2 is:

72208+72=31113

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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