111/3 multiplied by 233/3 in Fraction Form

The result of 111/3 multiplied by 233/3 is: 2873 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac1113\) and \(\frac2333\).

Step 2: Multiply the Numerators

Multiply the numerators: 111 × 233 = 25863

Step 3: Multiply the Denominators

Multiply the denominators: 3 × 3 = 9

Step 4: Simplify the Fraction

We can simplify \(\frac258639\) to its lowest form.
The greatest common divisor (GCD) of 25863 and 9 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac86213\).

Step 5: Convert to Mixed Number

The fraction \(\frac86213\) can be written as the mixed number \(2873\frac23\).

Final Answer

The result of 111/3 multiplied by 233/3 is:

\[ \frac{111}{3} \times \frac{233}{3} = 2873\frac23 \]

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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