31/8 multiplied by 16/4 in Fraction Form

The result of 31/8 multiplied by 16/4 is: 15 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{1} 8$ and $\frac{1}{6} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 16 = 496

Step 3: Multiply the Denominators

Multiply the denominators: 8 × 4 = 32

Step 4: Simplify the Fraction

We can simplify $\frac{4}{9} 632$ to its lowest form.
The greatest common divisor (GCD) of 496 and 32 is 16.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{1} 2$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{1} 2$ can be written as the mixed number $15 \frac{1}{2}$ .

Final Answer

The result of 31/8 multiplied by 16/4 is:

\frac{31}{8} \times \frac{16}{4} = 15 \frac{1}{2}

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: