233/42 multiplied by 12/2 in Fraction Form

The result of 233/42 multiplied by 12/2 is: 33 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 23342 and 122.

Step 2: Multiply the Numerators

Multiply the numerators: 233 × 12 = 2796

Step 3: Multiply the Denominators

Multiply the denominators: 42 × 2 = 84

Step 4: Simplify the Fraction

We can simplify 279684 to its lowest form.
The greatest common divisor (GCD) of 2796 and 84 is 12.
Dividing both numerator and denominator by the GCD, we get 2337.

Step 5: Convert to Mixed Number

The fraction 2337 can be written as the mixed number 3327.

Final Answer

The result of 233/42 multiplied by 12/2 is:

23342×122=3327

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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