14/118 added to 194/4 in Fraction Form

The result of 14/118 added to 194/4 is: 48 73/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14118 and 1944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14118 to 28236
Convert 1944 to 11446236

Step 4: Add the Numerators

Add the numerators: 28 + 11446 = 11474

Step 5: Simplify the Fraction

We can simplify 11474236 to its lowest form.
The greatest common divisor (GCD) of 11474 and 236 is 2.
Dividing both numerator and denominator by the GCD, we get 5737118.

Step 6: Convert to Mixed Number

The fraction 5737118 can be written as the mixed number 4873118.

Final Answer

The result of 14/118 added to 194/4 is:

14118+1944=4873118

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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