94/185 added to 30/2 in Fraction Form

The result of 94/185 added to 30/2 is: 15 94/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 94185 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 2 is 370.

Step 3: Convert Fractions to Equivalent Fractions

Convert 94185 to 188370
Convert 302 to 5550370

Step 4: Add the Numerators

Add the numerators: 188 + 5550 = 5738

Step 5: Simplify the Fraction

We can simplify 5738370 to its lowest form.
The greatest common divisor (GCD) of 5738 and 370 is 2.
Dividing both numerator and denominator by the GCD, we get 2869185.

Step 6: Convert to Mixed Number

The fraction 2869185 can be written as the mixed number 1594185.

Final Answer

The result of 94/185 added to 30/2 is:

94185+302=1594185

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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