14/185 added to 36/4 in Fraction Form

The result of 14/185 added to 36/4 is: 9 14/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14185 and 364.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14185 to 56740
Convert 364 to 6660740

Step 4: Add the Numerators

Add the numerators: 56 + 6660 = 6716

Step 5: Simplify the Fraction

We can simplify 6716740 to its lowest form.
The greatest common divisor (GCD) of 6716 and 740 is 4.
Dividing both numerator and denominator by the GCD, we get 1679185.

Step 6: Convert to Mixed Number

The fraction 1679185 can be written as the mixed number 914185.

Final Answer

The result of 14/185 added to 36/4 is:

14185+364=914185

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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