69/72 added to 199/4 in Fraction Form

The result of 69/72 added to 199/4 is: 50 17/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6972 and 1994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 4 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6972 to 6972
Convert 1994 to 358272

Step 4: Add the Numerators

Add the numerators: 69 + 3582 = 3651

Step 5: Simplify the Fraction

We can simplify 365172 to its lowest form.
The greatest common divisor (GCD) of 3651 and 72 is 3.
Dividing both numerator and denominator by the GCD, we get 121724.

Step 6: Convert to Mixed Number

The fraction 121724 can be written as the mixed number 501724.

Final Answer

The result of 69/72 added to 199/4 is:

6972+1994=501724

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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