81/102 multiplied by 22/4 in Fraction Form

The result of 81/102 multiplied by 22/4 is: 4 25/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 81102 and 224.

Step 2: Multiply the Numerators

Multiply the numerators: 81 × 22 = 1782

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 4 = 408

Step 4: Simplify the Fraction

We can simplify 1782408 to its lowest form.
The greatest common divisor (GCD) of 1782 and 408 is 6.
Dividing both numerator and denominator by the GCD, we get 29768.

Step 5: Convert to Mixed Number

The fraction 29768 can be written as the mixed number 42568.

Final Answer

The result of 81/102 multiplied by 22/4 is:

81102×224=42568

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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