18/5 multiplied by 31/2 in Fraction Form

The result of 18/5 multiplied by 31/2 is: 55 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{8} 5$ and $\frac{3}{1} 2$ .

Step 2: Multiply the Numerators

Multiply the numerators: 18 × 31 = 558

Step 3: Multiply the Denominators

Multiply the denominators: 5 × 2 = 10

Step 4: Simplify the Fraction

We can simplify $\frac{5}{5} 810$ to its lowest form.
The greatest common divisor (GCD) of 558 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{7} 95$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{7} 95$ can be written as the mixed number $55 \frac{4}{5}$ .

Final Answer

The result of 18/5 multiplied by 31/2 is:

\frac{18}{5} \times \frac{31}{2} = 55 \frac{4}{5}

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: