20/151 added to 118/6 in Fraction Form

The result of 20/151 added to 118/6 is: 19 362/453

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20151 and 1186.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 6 is 906.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20151 to 120906
Convert 1186 to 17818906

Step 4: Add the Numerators

Add the numerators: 120 + 17818 = 17938

Step 5: Simplify the Fraction

We can simplify 17938906 to its lowest form.
The greatest common divisor (GCD) of 17938 and 906 is 2.
Dividing both numerator and denominator by the GCD, we get 8969453.

Step 6: Convert to Mixed Number

The fraction 8969453 can be written as the mixed number 19362453.

Final Answer

The result of 20/151 added to 118/6 is:

20151+1186=19362453

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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