69/67 added to 182/2 in Fraction Form

The result of 69/67 added to 182/2 is: 92 2/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6967 and 1822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 2 is 134.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6967 to 138134
Convert 1822 to 12194134

Step 4: Add the Numerators

Add the numerators: 138 + 12194 = 12332

Step 5: Simplify the Fraction

We can simplify 12332134 to its lowest form.
The greatest common divisor (GCD) of 12332 and 134 is 2.
Dividing both numerator and denominator by the GCD, we get 616667.

Step 6: Convert to Mixed Number

The fraction 616667 can be written as the mixed number 92267.

Final Answer

The result of 69/67 added to 182/2 is:

6967+1822=92267

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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