20/177 added to 40/2 in Fraction Form

The result of 20/177 added to 40/2 is: 20 20/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20177 and 402.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 2 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20177 to 40354
Convert 402 to 7080354

Step 4: Add the Numerators

Add the numerators: 40 + 7080 = 7120

Step 5: Simplify the Fraction

We can simplify 7120354 to its lowest form.
The greatest common divisor (GCD) of 7120 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 3560177.

Step 6: Convert to Mixed Number

The fraction 3560177 can be written as the mixed number 2020177.

Final Answer

The result of 20/177 added to 40/2 is:

20177+402=2020177

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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