20/55 added to 3/2 in Fraction Form

The result of 20/55 added to 3/2 is: 1 19/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2055 and 32.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 55 and 2 is 110.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2055 to 40110
Convert 32 to 165110

Step 4: Add the Numerators

Add the numerators: 40 + 165 = 205

Step 5: Simplify the Fraction

We can simplify 205110 to its lowest form.
The greatest common divisor (GCD) of 205 and 110 is 5.
Dividing both numerator and denominator by the GCD, we get 4122.

Step 6: Convert to Mixed Number

The fraction 4122 can be written as the mixed number 11922.

Final Answer

The result of 20/55 added to 3/2 is:

2055+32=11922

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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