69/10 added to 165/2 in Fraction Form

The result of 69/10 added to 165/2 is: 89 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6910 and 1652.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6910 to 6910
Convert 1652 to 82510

Step 4: Add the Numerators

Add the numerators: 69 + 825 = 894

Step 5: Simplify the Fraction

We can simplify 89410 to its lowest form.
The greatest common divisor (GCD) of 894 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get 4475.

Step 6: Convert to Mixed Number

The fraction 4475 can be written as the mixed number 8925.

Final Answer

The result of 69/10 added to 165/2 is:

6910+1652=8925

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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