227/3 multiplied by 102/3 in Fraction Form

The result of 227/3 multiplied by 102/3 is: 2572 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac2273\) and \(\frac1023\).

Step 2: Multiply the Numerators

Multiply the numerators: 227 × 102 = 23154

Step 3: Multiply the Denominators

Multiply the denominators: 3 × 3 = 9

Step 4: Simplify the Fraction

We can simplify \(\frac231549\) to its lowest form.
The greatest common divisor (GCD) of 23154 and 9 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac77183\).

Step 5: Convert to Mixed Number

The fraction \(\frac77183\) can be written as the mixed number \(2572\frac23\).

Final Answer

The result of 227/3 multiplied by 102/3 is:

\[ \frac{227}{3} \times \frac{102}{3} = 2572\frac23 \]

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)

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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