210/83 multiplied by 13/3 in Fraction Form

The result of 210/83 multiplied by 13/3 is: 10 80/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{1} 083$ and $\frac{1}{3} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 210 × 13 = 2730

Step 3: Multiply the Denominators

Multiply the denominators: 83 × 3 = 249

Step 4: Simplify the Fraction

We can simplify $\frac{2}{7} 30249$ to its lowest form.
The greatest common divisor (GCD) of 2730 and 249 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{1} 083$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{1} 083$ can be written as the mixed number $10 \frac{8}{0} 83$ .

Final Answer

The result of 210/83 multiplied by 13/3 is:

\frac{210}{83} \times \frac{13}{3} = 10 \frac{8}{0} 83

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).

Fraction Calculator

Calculate operations between any two fractions: