82/154 added to 69/3 in Fraction Form

The result of 82/154 added to 69/3 is: 23 41/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82154 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82154 to 246462
Convert 693 to 10626462

Step 4: Add the Numerators

Add the numerators: 246 + 10626 = 10872

Step 5: Simplify the Fraction

We can simplify 10872462 to its lowest form.
The greatest common divisor (GCD) of 10872 and 462 is 6.
Dividing both numerator and denominator by the GCD, we get 181277.

Step 6: Convert to Mixed Number

The fraction 181277 can be written as the mixed number 234177.

Final Answer

The result of 82/154 added to 69/3 is:

82154+693=234177

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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