153/81 added to 66/4 in Fraction Form

The result of 153/81 added to 66/4 is: 18 7/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15381 and 664.

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 15381 to 612324
Convert 664 to 5346324

Step 4: Add the Numerators

Add the numerators: 612 + 5346 = 5958

Step 5: Simplify the Fraction

We can simplify 5958324 to its lowest form.
The greatest common divisor (GCD) of 5958 and 324 is 18.
Dividing both numerator and denominator by the GCD, we get 33118.

Step 6: Convert to Mixed Number

The fraction 33118 can be written as the mixed number 18718.

Final Answer

The result of 153/81 added to 66/4 is:

15381+664=18718

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).

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