20/177 added to 128/4 in Fraction Form

The result of 20/177 added to 128/4 is: 32 20/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20177 and 1284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 4 is 708.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20177 to 80708
Convert 1284 to 22656708

Step 4: Add the Numerators

Add the numerators: 80 + 22656 = 22736

Step 5: Simplify the Fraction

We can simplify 22736708 to its lowest form.
The greatest common divisor (GCD) of 22736 and 708 is 4.
Dividing both numerator and denominator by the GCD, we get 5684177.

Step 6: Convert to Mixed Number

The fraction 5684177 can be written as the mixed number 3220177.

Final Answer

The result of 20/177 added to 128/4 is:

20177+1284=3220177

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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