21/81 added to 203/4 in Fraction Form

The result of 21/81 added to 203/4 is: 51 1/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2181 and 2034.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2181 to 84324
Convert 2034 to 16443324

Step 4: Add the Numerators

Add the numerators: 84 + 16443 = 16527

Step 5: Simplify the Fraction

We can simplify 16527324 to its lowest form.
The greatest common divisor (GCD) of 16527 and 324 is 3.
Dividing both numerator and denominator by the GCD, we get 5509108.

Step 6: Convert to Mixed Number

The fraction 5509108 can be written as the mixed number 511108.

Final Answer

The result of 21/81 added to 203/4 is:

2181+2034=511108

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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