30/34 multiplied by 213/4 in Fraction Form

The result of 30/34 multiplied by 213/4 is: 46 67/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{0} 34$ and $\frac{2}{1} 34$ .

Step 2: Multiply the Numerators

Multiply the numerators: 30 × 213 = 6390

Step 3: Multiply the Denominators

Multiply the denominators: 34 × 4 = 136

Step 4: Simplify the Fraction

We can simplify $\frac{6}{3} 90136$ to its lowest form.
The greatest common divisor (GCD) of 6390 and 136 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{1} 9568$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{1} 9568$ can be written as the mixed number $46 \frac{6}{7} 68$ .

Final Answer

The result of 30/34 multiplied by 213/4 is:

\frac{30}{34} \times \frac{213}{4} = 46 \frac{6}{7} 68

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: