3/81 added to 188/3 in Fraction Form

The result of 3/81 added to 188/3 is: 62 19/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 381 and 1883.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 3 is 81.

Step 3: Convert Fractions to Equivalent Fractions

Convert 381 to 381
Convert 1883 to 507681

Step 4: Add the Numerators

Add the numerators: 3 + 5076 = 5079

Step 5: Simplify the Fraction

We can simplify 507981 to its lowest form.
The greatest common divisor (GCD) of 5079 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get 169327.

Step 6: Convert to Mixed Number

The fraction 169327 can be written as the mixed number 621927.

Final Answer

The result of 3/81 added to 188/3 is:

381+1883=621927

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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