21/126 added to 81/2 in Fraction Form

The result of 21/126 added to 81/2 is: 40 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21126 and 812.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 126 and 2 is 126.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21126 to 21126
Convert 812 to 5103126

Step 4: Add the Numerators

Add the numerators: 21 + 5103 = 5124

Step 5: Simplify the Fraction

We can simplify 5124126 to its lowest form.
The greatest common divisor (GCD) of 5124 and 126 is 42.
Dividing both numerator and denominator by the GCD, we get 1223.

Step 6: Convert to Mixed Number

The fraction 1223 can be written as the mixed number 4023.

Final Answer

The result of 21/126 added to 81/2 is:

21126+812=4023

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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