38/177 added to 83/3 in Fraction Form

The result of 38/177 added to 83/3 is: 27 52/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38177 and 833.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38177 to 38177
Convert 833 to 4897177

Step 4: Add the Numerators

Add the numerators: 38 + 4897 = 4935

Step 5: Simplify the Fraction

We can simplify 4935177 to its lowest form.
The greatest common divisor (GCD) of 4935 and 177 is 3.
Dividing both numerator and denominator by the GCD, we get 164559.

Step 6: Convert to Mixed Number

The fraction 164559 can be written as the mixed number 275259.

Final Answer

The result of 38/177 added to 83/3 is:

38177+833=275259

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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