102/126 added to 102/3 in Fraction Form

The result of 102/126 added to 102/3 is: 34 17/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102126 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 126 and 3 is 126.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102126 to 102126
Convert 1023 to 4284126

Step 4: Add the Numerators

Add the numerators: 102 + 4284 = 4386

Step 5: Simplify the Fraction

We can simplify 4386126 to its lowest form.
The greatest common divisor (GCD) of 4386 and 126 is 6.
Dividing both numerator and denominator by the GCD, we get 73121.

Step 6: Convert to Mixed Number

The fraction 73121 can be written as the mixed number 341721.

Final Answer

The result of 102/126 added to 102/3 is:

102126+1023=341721

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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