18/254 added to 21/3 in Fraction Form

The result of 18/254 added to 21/3 is: 7 9/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18254 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 254 and 3 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18254 to 54762
Convert 213 to 5334762

Step 4: Add the Numerators

Add the numerators: 54 + 5334 = 5388

Step 5: Simplify the Fraction

We can simplify 5388762 to its lowest form.
The greatest common divisor (GCD) of 5388 and 762 is 6.
Dividing both numerator and denominator by the GCD, we get 898127.

Step 6: Convert to Mixed Number

The fraction 898127 can be written as the mixed number 79127.

Final Answer

The result of 18/254 added to 21/3 is:

18254+213=79127

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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