22/8 multiplied by 222/3 in Fraction Form

The result of 22/8 multiplied by 222/3 is: 203 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 228 and 2223.

Step 2: Multiply the Numerators

Multiply the numerators: 22 × 222 = 4884

Step 3: Multiply the Denominators

Multiply the denominators: 8 × 3 = 24

Step 4: Simplify the Fraction

We can simplify 488424 to its lowest form.
The greatest common divisor (GCD) of 4884 and 24 is 12.
Dividing both numerator and denominator by the GCD, we get 4072.

Step 5: Convert to Mixed Number

The fraction 4072 can be written as the mixed number 20312.

Final Answer

The result of 22/8 multiplied by 222/3 is:

228×2223=20312

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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