213/17 multiplied by 8/3 in Fraction Form

The result of 213/17 multiplied by 8/3 is: 33 7/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{1} 317$ and $\frac{8}{3}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 8 = 1704

Step 3: Multiply the Denominators

Multiply the denominators: 17 × 3 = 51

Step 4: Simplify the Fraction

We can simplify $\frac{1}{7} 0451$ to its lowest form.
The greatest common divisor (GCD) of 1704 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{6} 817$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{6} 817$ can be written as the mixed number $33 \frac{7}{1} 7$ .

Final Answer

The result of 213/17 multiplied by 8/3 is:

\frac{213}{17} \times \frac{8}{3} = 33 \frac{7}{1} 7

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: