69/155 multiplied by 92/3 in Fraction Form

The result of 69/155 multiplied by 92/3 is: 13 101/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{6}{9} 155$ and $\frac{9}{2} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 92 = 6348

Step 3: Multiply the Denominators

Multiply the denominators: 155 × 3 = 465

Step 4: Simplify the Fraction

We can simplify $\frac{6}{3} 48465$ to its lowest form.
The greatest common divisor (GCD) of 6348 and 465 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{1} 16155$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{1} 16155$ can be written as the mixed number $13 \frac{1}{0} 1155$ .

Final Answer

The result of 69/155 multiplied by 92/3 is:

\frac{69}{155} \times \frac{92}{3} = 13 \frac{1}{0} 1155

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: