83/189 added to 2/4 in Fraction Form

The result of 83/189 added to 2/4 is: 355/378

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83189 and 24.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 189 and 4 is 756.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83189 to 332756
Convert 24 to 378756

Step 4: Add the Numerators

Add the numerators: 332 + 378 = 710

Step 5: Simplify the Fraction

We can simplify 710756 to its lowest form.
The greatest common divisor (GCD) of 710 and 756 is 2.
Dividing both numerator and denominator by the GCD, we get 355378.

Final Answer

The result of 83/189 added to 2/4 is:

83189+24=355378

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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