82/154 added to 59/3 in Fraction Form

The result of 82/154 added to 59/3 is: 20 46/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82154 and 593.

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 593 to 9086462

Step 4: Add the Numerators

Add the numerators: 246 + 9086 = 9332

Step 5: Simplify the Fraction

We can simplify 9332462 to its lowest form.
The greatest common divisor (GCD) of 9332 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 4666231.

Step 6: Convert to Mixed Number

The fraction 4666231 can be written as the mixed number 2046231.

Final Answer

The result of 82/154 added to 59/3 is:

82154+593=2046231

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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