20/84 added to 21/2 in Fraction Form

The result of 20/84 added to 21/2 is: 10 31/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2084 and 212.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 84 and 2 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2084 to 2084
Convert 212 to 88284

Step 4: Add the Numerators

Add the numerators: 20 + 882 = 902

Step 5: Simplify the Fraction

We can simplify 90284 to its lowest form.
The greatest common divisor (GCD) of 902 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 45142.

Step 6: Convert to Mixed Number

The fraction 45142 can be written as the mixed number 103142.

Final Answer

The result of 20/84 added to 21/2 is:

2084+212=103142

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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