6/155 added to 159/3 in Fraction Form

The result of 6/155 added to 159/3 is: 53 6/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6155 and 1593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 3 is 465.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6155 to 18465
Convert 1593 to 24645465

Step 4: Add the Numerators

Add the numerators: 18 + 24645 = 24663

Step 5: Simplify the Fraction

We can simplify 24663465 to its lowest form.
The greatest common divisor (GCD) of 24663 and 465 is 3.
Dividing both numerator and denominator by the GCD, we get 8221155.

Step 6: Convert to Mixed Number

The fraction 8221155 can be written as the mixed number 536155.

Final Answer

The result of 6/155 added to 159/3 is:

6155+1593=536155

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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