69/183 added to 76/2 in Fraction Form

The result of 69/183 added to 76/2 is: 38 23/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69183 and 762.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 183 and 2 is 366.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69183 to 138366
Convert 762 to 13908366

Step 4: Add the Numerators

Add the numerators: 138 + 13908 = 14046

Step 5: Simplify the Fraction

We can simplify 14046366 to its lowest form.
The greatest common divisor (GCD) of 14046 and 366 is 6.
Dividing both numerator and denominator by the GCD, we get 234161.

Step 6: Convert to Mixed Number

The fraction 234161 can be written as the mixed number 382361.

Final Answer

The result of 69/183 added to 76/2 is:

69183+762=382361

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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