20/11 added to 50/4 in Fraction Form

The result of 20/11 added to 50/4 is: 14 7/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2011 and 504.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2011 to 8044
Convert 504 to 55044

Step 4: Add the Numerators

Add the numerators: 80 + 550 = 630

Step 5: Simplify the Fraction

We can simplify 63044 to its lowest form.
The greatest common divisor (GCD) of 630 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 31522.

Step 6: Convert to Mixed Number

The fraction 31522 can be written as the mixed number 14722.

Final Answer

The result of 20/11 added to 50/4 is:

2011+504=14722

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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