12/151 added to 69/3 in Fraction Form

The result of 12/151 added to 69/3 is: 23 12/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12151 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 3 is 453.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12151 to 36453
Convert 693 to 10419453

Step 4: Add the Numerators

Add the numerators: 36 + 10419 = 10455

Step 5: Simplify the Fraction

We can simplify 10455453 to its lowest form.
The greatest common divisor (GCD) of 10455 and 453 is 3.
Dividing both numerator and denominator by the GCD, we get 3485151.

Step 6: Convert to Mixed Number

The fraction 3485151 can be written as the mixed number 2312151.

Final Answer

The result of 12/151 added to 69/3 is:

12151+693=2312151

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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