27/7 multiplied by 3/2 in Fraction Form

The result of 27/7 multiplied by 3/2 is: 5 11/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{7} 7$ and $\frac{3}{2}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 3 = 81

Step 3: Multiply the Denominators

Multiply the denominators: 7 × 2 = 14

Step 4: Convert to Mixed Number

The fraction $\frac{8}{1} 14$ can be written as the mixed number $5 \frac{1}{1} 14$ .

Final Answer

The result of 27/7 multiplied by 3/2 is:

\frac{27}{7} \times \frac{3}{2} = 5 \frac{1}{1} 14

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: