12/213 multiplied by 103/4 in Fraction Form

The result of 12/213 multiplied by 103/4 is: 1 32/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{2} 213$ and $\frac{1}{0} 34$ .

Step 2: Multiply the Numerators

Multiply the numerators: 12 × 103 = 1236

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 4 = 852

Step 4: Simplify the Fraction

We can simplify $\frac{1}{2} 36852$ to its lowest form.
The greatest common divisor (GCD) of 1236 and 852 is 12.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{0} 371$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{0} 371$ can be written as the mixed number $1 \frac{3}{2} 71$ .

Final Answer

The result of 12/213 multiplied by 103/4 is:

\frac{12}{213} \times \frac{103}{4} = 1 \frac{3}{2} 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: