127/83 added to 66/4 in Fraction Form

The result of 127/83 added to 66/4 is: 18 5/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12783 and 664.

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 12783 to 508332
Convert 664 to 5478332

Step 4: Add the Numerators

Add the numerators: 508 + 5478 = 5986

Step 5: Simplify the Fraction

We can simplify 5986332 to its lowest form.
The greatest common divisor (GCD) of 5986 and 332 is 2.
Dividing both numerator and denominator by the GCD, we get 2993166.

Step 6: Convert to Mixed Number

The fraction 2993166 can be written as the mixed number 185166.

Final Answer

The result of 127/83 added to 66/4 is:

12783+664=185166

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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