15/16 multiplied by 33/6 in Fraction Form

The result of 15/16 multiplied by 33/6 is: 5 5/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{5} 16$ and $\frac{3}{3} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 15 × 33 = 495

Step 3: Multiply the Denominators

Multiply the denominators: 16 × 6 = 96

Step 4: Simplify the Fraction

We can simplify $\frac{4}{9} 596$ to its lowest form.
The greatest common divisor (GCD) of 495 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{6} 532$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{6} 532$ can be written as the mixed number $5 \frac{5}{3} 2$ .

Final Answer

The result of 15/16 multiplied by 33/6 is:

\frac{15}{16} \times \frac{33}{6} = 5 \frac{5}{3} 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: