81/45 added to 10/2 in Fraction Form

The result of 81/45 added to 10/2 is: 6 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8145 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 2 is 90.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8145 to 16290
Convert 102 to 45090

Step 4: Add the Numerators

Add the numerators: 162 + 450 = 612

Step 5: Simplify the Fraction

We can simplify 61290 to its lowest form.
The greatest common divisor (GCD) of 612 and 90 is 18.
Dividing both numerator and denominator by the GCD, we get 345.

Step 6: Convert to Mixed Number

The fraction 345 can be written as the mixed number 645.

Final Answer

The result of 81/45 added to 10/2 is:

8145+102=645

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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