32/213 multiplied by 57/4 in Fraction Form

The result of 32/213 multiplied by 57/4 is: 2 10/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{2} 213$ and $\frac{5}{7} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 32 × 57 = 1824

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 4 = 852

Step 4: Simplify the Fraction

We can simplify $\frac{1}{8} 24852$ to its lowest form.
The greatest common divisor (GCD) of 1824 and 852 is 12.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{5} 271$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{5} 271$ can be written as the mixed number $2 \frac{1}{0} 71$ .

Final Answer

The result of 32/213 multiplied by 57/4 is:

\frac{32}{213} \times \frac{57}{4} = 2 \frac{1}{0} 71

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: