12/69 added to 68/4 in Fraction Form

The result of 12/69 added to 68/4 is: 17 4/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1269 and 684.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 4 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1269 to 48276
Convert 684 to 4692276

Step 4: Add the Numerators

Add the numerators: 48 + 4692 = 4740

Step 5: Simplify the Fraction

We can simplify 4740276 to its lowest form.
The greatest common divisor (GCD) of 4740 and 276 is 12.
Dividing both numerator and denominator by the GCD, we get 39523.

Step 6: Convert to Mixed Number

The fraction 39523 can be written as the mixed number 17423.

Final Answer

The result of 12/69 added to 68/4 is:

1269+684=17423

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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