78/213 multiplied by 18/4 in Fraction Form

The result of 78/213 multiplied by 18/4 is: 1 46/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 78213 and 184.

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 18 = 1404

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 4 = 852

Step 4: Simplify the Fraction

We can simplify 1404852 to its lowest form.
The greatest common divisor (GCD) of 1404 and 852 is 12.
Dividing both numerator and denominator by the GCD, we get 11771.

Step 5: Convert to Mixed Number

The fraction 11771 can be written as the mixed number 14671.

Final Answer

The result of 78/213 multiplied by 18/4 is:

78213×184=14671

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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