83/92 added to 69/3 in Fraction Form

The result of 83/92 added to 69/3 is: 23 83/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8392 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 3 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8392 to 249276
Convert 693 to 6348276

Step 4: Add the Numerators

Add the numerators: 249 + 6348 = 6597

Step 5: Simplify the Fraction

We can simplify 6597276 to its lowest form.
The greatest common divisor (GCD) of 6597 and 276 is 3.
Dividing both numerator and denominator by the GCD, we get 219992.

Step 6: Convert to Mixed Number

The fraction 219992 can be written as the mixed number 238392.

Final Answer

The result of 83/92 added to 69/3 is:

8392+693=238392

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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