4/81 added to 130/2 in Fraction Form

The result of 4/81 added to 130/2 is: 65 4/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 481 and 1302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 481 to 8162
Convert 1302 to 10530162

Step 4: Add the Numerators

Add the numerators: 8 + 10530 = 10538

Step 5: Simplify the Fraction

We can simplify 10538162 to its lowest form.
The greatest common divisor (GCD) of 10538 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 526981.

Step 6: Convert to Mixed Number

The fraction 526981 can be written as the mixed number 65481.

Final Answer

The result of 4/81 added to 130/2 is:

481+1302=65481

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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