What this calculator does
This tool divides a fraction by a whole number. You enter the numerator (a), the denominator (b), and the whole number (n), and it returns the result as a fully simplified fraction along with its decimal equivalent. It is a universal math tool that works for any positive or negative integers you supply.
How to use it
Type the top number of your fraction in the numerator field, the bottom number in the denominator field, and the whole number you want to divide by in the last field. Press calculate to see the simplified fraction and its decimal value. For example, splitting 3/4 of a pizza between 2 people gives each person 3/8 of the pizza.
The formula explained
Dividing by a whole number \(n\) is the same as multiplying by its reciprocal \(1/n\). So $$\dfrac{a}{b} \div n = \dfrac{a}{b} \times \dfrac{1}{n} = \dfrac{a}{b \cdot n}$$ The numerator stays the same and the denominator is multiplied by \(n\). The calculator then reduces the fraction by dividing both parts by their greatest common divisor (GCD).
Worked example
Divide 3/4 by 2: keep the numerator 3, multiply the denominator 4 × 2 = 8, giving 3/8. Since 3 and 8 share no common factor, 3/8 is already simplified. As a decimal, 3 ÷ 8 = 0.375.
$$\dfrac{3}{4} \div 2 = \dfrac{3}{4 \times 2} = \dfrac{3}{8} = 0.375$$
FAQ
Why does only the denominator change? Because dividing by \(n\) means each existing part is split into \(n\) smaller parts, so there are \(n\) times as many pieces in the whole — the denominator grows while the count of pieces (numerator) stays the same.
What if the whole number is 0? Division by zero is undefined, so the result is not meaningful; enter a non-zero whole number.
Does it simplify the answer? Yes. The result is automatically reduced to lowest terms using the greatest common divisor of the numerator and denominator.
