18/174 added to 99/4 in Fraction Form

The result of 18/174 added to 99/4 is: 24 99/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18174 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 174 and 4 is 348.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18174 to 36348
Convert 994 to 8613348

Step 4: Add the Numerators

Add the numerators: 36 + 8613 = 8649

Step 5: Simplify the Fraction

We can simplify 8649348 to its lowest form.
The greatest common divisor (GCD) of 8649 and 348 is 3.
Dividing both numerator and denominator by the GCD, we get 2883116.

Step 6: Convert to Mixed Number

The fraction 2883116 can be written as the mixed number 2499116.

Final Answer

The result of 18/174 added to 99/4 is:

18174+994=2499116

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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