109/146 added to 8/4 in Fraction Form

The result of 109/146 added to 8/4 is: 2 109/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 109146 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 4 is 292.

Step 3: Convert Fractions to Equivalent Fractions

Convert 109146 to 218292
Convert 84 to 584292

Step 4: Add the Numerators

Add the numerators: 218 + 584 = 802

Step 5: Simplify the Fraction

We can simplify 802292 to its lowest form.
The greatest common divisor (GCD) of 802 and 292 is 2.
Dividing both numerator and denominator by the GCD, we get 401146.

Step 6: Convert to Mixed Number

The fraction 401146 can be written as the mixed number 2109146.

Final Answer

The result of 109/146 added to 8/4 is:

109146+84=2109146

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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