127/82 added to 102/3 in Fraction Form

The result of 127/82 added to 102/3 is: 35 45/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12782 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12782 to 381246
Convert 1023 to 8364246

Step 4: Add the Numerators

Add the numerators: 381 + 8364 = 8745

Step 5: Simplify the Fraction

We can simplify 8745246 to its lowest form.
The greatest common divisor (GCD) of 8745 and 246 is 3.
Dividing both numerator and denominator by the GCD, we get 291582.

Step 6: Convert to Mixed Number

The fraction 291582 can be written as the mixed number 354582.

Final Answer

The result of 127/82 added to 102/3 is:

12782+1023=354582

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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