67/159 multiplied by 69/6 in Fraction Form

The result of 67/159 multiplied by 69/6 is: 4 269/318

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{6}{7} 159$ and $\frac{6}{9} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 69 = 4623

Step 3: Multiply the Denominators

Multiply the denominators: 159 × 6 = 954

Step 4: Simplify the Fraction

We can simplify $\frac{4}{6} 23954$ to its lowest form.
The greatest common divisor (GCD) of 4623 and 954 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{5} 41318$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{5} 41318$ can be written as the mixed number $4 \frac{2}{6} 9318$ .

Final Answer

The result of 67/159 multiplied by 69/6 is:

\frac{67}{159} \times \frac{69}{6} = 4 \frac{2}{6} 9318

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: