17/29 multiplied by 213/3 in Fraction Form

The result of 17/29 multiplied by 213/3 is: 41 18/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{7} 29$ and $\frac{2}{1} 33$ .

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 213 = 3621

Step 3: Multiply the Denominators

Multiply the denominators: 29 × 3 = 87

Step 4: Simplify the Fraction

We can simplify $\frac{3}{6} 2187$ to its lowest form.
The greatest common divisor (GCD) of 3621 and 87 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{2} 0729$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{2} 0729$ can be written as the mixed number $41 \frac{1}{8} 29$ .

Final Answer

The result of 17/29 multiplied by 213/3 is:

\frac{17}{29} \times \frac{213}{3} = 41 \frac{1}{8} 29

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: