83/15 multiplied by 99/3 in Fraction Form

The result of 83/15 multiplied by 99/3 is: 182 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{8}{3} 15$ and $\frac{9}{9} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 99 = 8217

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 3 = 45

Step 4: Simplify the Fraction

We can simplify $\frac{8}{2} 1745$ to its lowest form.
The greatest common divisor (GCD) of 8217 and 45 is 9.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{1} 35$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{1} 35$ can be written as the mixed number $182 \frac{3}{5}$ .

Final Answer

The result of 83/15 multiplied by 99/3 is:

\frac{83}{15} \times \frac{99}{3} = 182 \frac{3}{5}

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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