20/135 added to 83/6 in Fraction Form

The result of 20/135 added to 83/6 is: 13 53/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20135 and 836.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 6 is 270.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20135 to 40270
Convert 836 to 3735270

Step 4: Add the Numerators

Add the numerators: 40 + 3735 = 3775

Step 5: Simplify the Fraction

We can simplify 3775270 to its lowest form.
The greatest common divisor (GCD) of 3775 and 270 is 5.
Dividing both numerator and denominator by the GCD, we get 75554.

Step 6: Convert to Mixed Number

The fraction 75554 can be written as the mixed number 135354.

Final Answer

The result of 20/135 added to 83/6 is:

20135+836=135354

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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