33/27 multiplied by 233/4 in Fraction Form

The result of 33/27 multiplied by 233/4 is: 71 7/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3327 and 2334.

Step 2: Multiply the Numerators

Multiply the numerators: 33 × 233 = 7689

Step 3: Multiply the Denominators

Multiply the denominators: 27 × 4 = 108

Step 4: Simplify the Fraction

We can simplify 7689108 to its lowest form.
The greatest common divisor (GCD) of 7689 and 108 is 3.
Dividing both numerator and denominator by the GCD, we get 256336.

Step 5: Convert to Mixed Number

The fraction 256336 can be written as the mixed number 71736.

Final Answer

The result of 33/27 multiplied by 233/4 is:

3327×2334=71736

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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