18/142 added to 8/2 in Fraction Form

The result of 18/142 added to 8/2 is: 4 9/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18142 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 2 is 142.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18142 to 18142
Convert 82 to 568142

Step 4: Add the Numerators

Add the numerators: 18 + 568 = 586

Step 5: Simplify the Fraction

We can simplify 586142 to its lowest form.
The greatest common divisor (GCD) of 586 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 29371.

Step 6: Convert to Mixed Number

The fraction 29371 can be written as the mixed number 4971.

Final Answer

The result of 18/142 added to 8/2 is:

18142+82=4971

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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