20/73 added to 176/2 in Fraction Form

The result of 20/73 added to 176/2 is: 88 20/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2073 and 1762.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2073 to 40146
Convert 1762 to 12848146

Step 4: Add the Numerators

Add the numerators: 40 + 12848 = 12888

Step 5: Simplify the Fraction

We can simplify 12888146 to its lowest form.
The greatest common divisor (GCD) of 12888 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 644473.

Step 6: Convert to Mixed Number

The fraction 644473 can be written as the mixed number 882073.

Final Answer

The result of 20/73 added to 176/2 is:

2073+1762=882073

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).

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