213/9 multiplied by 85/3 in Fraction Form

The result of 213/9 multiplied by 85/3 is: 670 5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{1} 39$ and $\frac{8}{5} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 85 = 18105

Step 3: Multiply the Denominators

Multiply the denominators: 9 × 3 = 27

Step 4: Simplify the Fraction

We can simplify $\frac{1}{8} 10527$ to its lowest form.
The greatest common divisor (GCD) of 18105 and 27 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{6}{0} 359$ .

Step 5: Convert to Mixed Number

The fraction $\frac{6}{0} 359$ can be written as the mixed number $670 \frac{5}{9}$ .

Final Answer

The result of 213/9 multiplied by 85/3 is:

\frac{213}{9} \times \frac{85}{3} = 670 \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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