3/72 added to 67/2 in Fraction Form

The result of 3/72 added to 67/2 is: 33 13/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 372 and 672.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 2 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 372 to 372
Convert 672 to 241272

Step 4: Add the Numerators

Add the numerators: 3 + 2412 = 2415

Step 5: Simplify the Fraction

We can simplify 241572 to its lowest form.
The greatest common divisor (GCD) of 2415 and 72 is 3.
Dividing both numerator and denominator by the GCD, we get 80524.

Step 6: Convert to Mixed Number

The fraction 80524 can be written as the mixed number 331324.

Final Answer

The result of 3/72 added to 67/2 is:

372+672=331324

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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