27/42 multiplied by 8/4 in Fraction Form

The result of 27/42 multiplied by 8/4 is: 1 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{7} 42$ and $\frac{8}{4}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 8 = 216

Step 3: Multiply the Denominators

Multiply the denominators: 42 × 4 = 168

Step 4: Simplify the Fraction

We can simplify $\frac{2}{1} 6168$ to its lowest form.
The greatest common divisor (GCD) of 216 and 168 is 24.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{7}$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{7}$ can be written as the mixed number $1 \frac{2}{7}$ .

Final Answer

The result of 27/42 multiplied by 8/4 is:

\frac{27}{42} \times \frac{8}{4} = 1 \frac{2}{7}

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: