39/4 multiplied by 213/3 in Fraction Form

The result of 39/4 multiplied by 213/3 is: 692 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 394 and 2133.

Step 2: Multiply the Numerators

Multiply the numerators: 39 × 213 = 8307

Step 3: Multiply the Denominators

Multiply the denominators: 4 × 3 = 12

Step 4: Simplify the Fraction

We can simplify 830712 to its lowest form.
The greatest common divisor (GCD) of 8307 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get 27694.

Step 5: Convert to Mixed Number

The fraction 27694 can be written as the mixed number 69214.

Final Answer

The result of 39/4 multiplied by 213/3 is:

394×2133=69214

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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