18/183 added to 101/4 in Fraction Form

The result of 18/183 added to 101/4 is: 25 85/244

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18183 and 1014.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 183 and 4 is 732.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18183 to 72732
Convert 1014 to 18483732

Step 4: Add the Numerators

Add the numerators: 72 + 18483 = 18555

Step 5: Simplify the Fraction

We can simplify 18555732 to its lowest form.
The greatest common divisor (GCD) of 18555 and 732 is 3.
Dividing both numerator and denominator by the GCD, we get 6185244.

Step 6: Convert to Mixed Number

The fraction 6185244 can be written as the mixed number 2585244.

Final Answer

The result of 18/183 added to 101/4 is:

18183+1014=2585244

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).

Fraction Calculator

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