20/155 added to 102/6 in Fraction Form

The result of 20/155 added to 102/6 is: 17 4/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20155 and 1026.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 6 is 930.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20155 to 120930
Convert 1026 to 15810930

Step 4: Add the Numerators

Add the numerators: 120 + 15810 = 15930

Step 5: Simplify the Fraction

We can simplify 15930930 to its lowest form.
The greatest common divisor (GCD) of 15930 and 930 is 30.
Dividing both numerator and denominator by the GCD, we get 53131.

Step 6: Convert to Mixed Number

The fraction 53131 can be written as the mixed number 17431.

Final Answer

The result of 20/155 added to 102/6 is:

20155+1026=17431

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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