82/85 added to 128/4 in Fraction Form

The result of 82/85 added to 128/4 is: 32 82/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8285 and 1284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8285 to 328340
Convert 1284 to 10880340

Step 4: Add the Numerators

Add the numerators: 328 + 10880 = 11208

Step 5: Simplify the Fraction

We can simplify 11208340 to its lowest form.
The greatest common divisor (GCD) of 11208 and 340 is 4.
Dividing both numerator and denominator by the GCD, we get 280285.

Step 6: Convert to Mixed Number

The fraction 280285 can be written as the mixed number 328285.

Final Answer

The result of 82/85 added to 128/4 is:

8285+1284=328285

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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