8/143 added to 102/6 in Fraction Form

The result of 8/143 added to 102/6 is: 17 8/143

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8143 and 1026.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 143 and 6 is 858.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8143 to 48858
Convert 1026 to 14586858

Step 4: Add the Numerators

Add the numerators: 48 + 14586 = 14634

Step 5: Simplify the Fraction

We can simplify 14634858 to its lowest form.
The greatest common divisor (GCD) of 14634 and 858 is 6.
Dividing both numerator and denominator by the GCD, we get 2439143.

Step 6: Convert to Mixed Number

The fraction 2439143 can be written as the mixed number 178143.

Final Answer

The result of 8/143 added to 102/6 is:

8143+1026=178143

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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