15/69 added to 8/2 in Fraction Form

The result of 15/69 added to 8/2 is: 4 5/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1569 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 2 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1569 to 30138
Convert 82 to 552138

Step 4: Add the Numerators

Add the numerators: 30 + 552 = 582

Step 5: Simplify the Fraction

We can simplify 582138 to its lowest form.
The greatest common divisor (GCD) of 582 and 138 is 6.
Dividing both numerator and denominator by the GCD, we get 9723.

Step 6: Convert to Mixed Number

The fraction 9723 can be written as the mixed number 4523.

Final Answer

The result of 15/69 added to 8/2 is:

1569+82=4523

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).

Fraction Calculator

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