81/30 added to 7/2 in Fraction Form

The result of 81/30 added to 7/2 is: 6 1/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8130 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 30 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8130 to 8130
Convert 72 to 10530

Step 4: Add the Numerators

Add the numerators: 81 + 105 = 186

Step 5: Simplify the Fraction

We can simplify 18630 to its lowest form.
The greatest common divisor (GCD) of 186 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 315.

Step 6: Convert to Mixed Number

The fraction 315 can be written as the mixed number 615.

Final Answer

The result of 81/30 added to 7/2 is:

8130+72=615

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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