42/27 multiplied by 233/3 in Fraction Form

The result of 42/27 multiplied by 233/3 is: 120 22/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 4227 and 2333.

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 233 = 9786

Step 3: Multiply the Denominators

Multiply the denominators: 27 × 3 = 81

Step 4: Simplify the Fraction

We can simplify 978681 to its lowest form.
The greatest common divisor (GCD) of 9786 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get 326227.

Step 5: Convert to Mixed Number

The fraction 326227 can be written as the mixed number 1202227.

Final Answer

The result of 42/27 multiplied by 233/3 is:

4227×2333=1202227

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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