63/81 added to 146/4 in Fraction Form

The result of 63/81 added to 146/4 is: 37 5/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6381 and 1464.

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 6381 to 252324
Convert 1464 to 11826324

Step 4: Add the Numerators

Add the numerators: 252 + 11826 = 12078

Step 5: Simplify the Fraction

We can simplify 12078324 to its lowest form.
The greatest common divisor (GCD) of 12078 and 324 is 18.
Dividing both numerator and denominator by the GCD, we get 67118.

Step 6: Convert to Mixed Number

The fraction 67118 can be written as the mixed number 37518.

Final Answer

The result of 63/81 added to 146/4 is:

6381+1464=37518

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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