135/81 multiplied by 73/3 in Fraction Form

The result of 135/81 multiplied by 73/3 is: 40 5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{3} 581$ and $\frac{7}{3} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 135 × 73 = 9855

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 3 = 243

Step 4: Simplify the Fraction

We can simplify $\frac{9}{8} 55243$ to its lowest form.
The greatest common divisor (GCD) of 9855 and 243 is 27.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{6} 59$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{6} 59$ can be written as the mixed number $40 \frac{5}{9}$ .

Final Answer

The result of 135/81 multiplied by 73/3 is:

\frac{135}{81} \times \frac{73}{3} = 40 \frac{5}{9}

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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