27/83 added to 128/4 in Fraction Form

The result of 27/83 added to 128/4 is: 32 27/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2783 and 1284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2783 to 108332
Convert 1284 to 10624332

Step 4: Add the Numerators

Add the numerators: 108 + 10624 = 10732

Step 5: Simplify the Fraction

We can simplify 10732332 to its lowest form.
The greatest common divisor (GCD) of 10732 and 332 is 4.
Dividing both numerator and denominator by the GCD, we get 268383.

Step 6: Convert to Mixed Number

The fraction 268383 can be written as the mixed number 322783.

Final Answer

The result of 27/83 added to 128/4 is:

2783+1284=322783

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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