78/3 multiplied by 73/3 in Fraction Form

The result of 78/3 multiplied by 73/3 is: 632 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac783\) and \(\frac733\).

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 73 = 5694

Step 3: Multiply the Denominators

Multiply the denominators: 3 × 3 = 9

Step 4: Simplify the Fraction

We can simplify \(\frac56949\) to its lowest form.
The greatest common divisor (GCD) of 5694 and 9 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac18983\).

Step 5: Convert to Mixed Number

The fraction \(\frac18983\) can be written as the mixed number \(632\frac23\).

Final Answer

The result of 78/3 multiplied by 73/3 is:

\[ \frac{78}{3} \times \frac{73}{3} = 632\frac23 \]

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).

Related Calculations

\( \frac{78}{3} + \frac{73}{3} \)
Calculate
\( \frac{78}{3} - \frac{73}{3} \)
Calculate
\( \frac{78}{3} \div \frac{73}{3} \)
Calculate
\( \frac{79}{3} \times \frac{73}{3} \)
Calculate
\( \frac{78}{3} \times \frac{74}{3} \)
Calculate
\( \frac{78}{4} \times \frac{73}{3} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: