67/12 added to 209/4 in Fraction Form

The result of 67/12 added to 209/4 is: 57 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6712 and 2094.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 4 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6712 to 6712
Convert 2094 to 62712

Step 4: Add the Numerators

Add the numerators: 67 + 627 = 694

Step 5: Simplify the Fraction

We can simplify 69412 to its lowest form.
The greatest common divisor (GCD) of 694 and 12 is 2.
Dividing both numerator and denominator by the GCD, we get 3476.

Step 6: Convert to Mixed Number

The fraction 3476 can be written as the mixed number 5756.

Final Answer

The result of 67/12 added to 209/4 is:

6712+2094=5756

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).

Fraction Calculator

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