12/67 added to 212/4 in Fraction Form

The result of 12/67 added to 212/4 is: 53 12/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1267 and 2124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 4 is 268.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1267 to 48268
Convert 2124 to 14204268

Step 4: Add the Numerators

Add the numerators: 48 + 14204 = 14252

Step 5: Simplify the Fraction

We can simplify 14252268 to its lowest form.
The greatest common divisor (GCD) of 14252 and 268 is 4.
Dividing both numerator and denominator by the GCD, we get 356367.

Step 6: Convert to Mixed Number

The fraction 356367 can be written as the mixed number 531267.

Final Answer

The result of 12/67 added to 212/4 is:

1267+2124=531267

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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