On the hunt for a tool that can divide any combination of fractions, mixed numbers, and whole numbers? If so, look no further — this dividing fractions calculator is the one for you! Just fill in up to five fractions, and the calculator will divide them from left to right, showing you the full step-by-step solution. This calculator can help you with many different questions:
- ✔️ How to divide fractions with whole numbers?
- ✔️ How do you divide a whole number by a fraction?
- ✔️ How to divide mixed fractions?
- ❌ How to sum two fractions? And how to convert fractions to decimals and decimals to fractions?
Well, the last point isn't the purpose of this tool. Better check out our adding fractions calculator for tips and tricks on fraction addition, as well as two excellent converters — the fractions to decimals converter and the decimals to fractions calculator, designed to remove any doubts about fractions conversion. And for those searching for an all-in-one solution, we have something special — a comprehensive fraction calculator. Give it a go!
How to divide fractions
Dividing fractions is really similar to multiplying fractions. You just need to follow these steps to divide two fractions (for example, 4/5 by 2/3):
- Calculate the reciprocal of your second fraction — the divisor (the fraction you want to divide by). To find the reciprocal, simply flip the number upside down so that the top number is now at the bottom and the bottom number is now above the line: 2/3 → 3/2.
Remember that there's one number which doesn't have a reciprocal — 0. So our second fraction can't have its top number equal to 0 — and we hope we don't need to remind you that you can't divide by zero, so the bottom number of a fraction can also never be zero. - Multiply your fractions. As a reminder, to multiply two fractions, you multiply the numerator by the other numerator and the denominator by the other denominator: 4/5 × 3/2 = (4 × 3) / (5 × 2) = 12/10.
- Finally, simplify the result, if needed: 12/10 = 6/5.
And that's it! That wasn't so difficult, was it? 😉 Our dividing fractions calculator shows you the step-by-step solution to your chosen example if you still have problems understanding how to divide fractions.
To summarize, you've just learned the general rules for dividing fractions. If you're searching for more specific instructions, like dividing mixed fractions or dividing fractions by whole numbers, keep reading!
How to divide fractions with whole numbers
When it comes to dividing fractions by whole numbers, it's pretty much the same as above: you need to multiply your fraction by a reciprocal — but this time, it's a reciprocal of the whole number. Let's look at an example, dividing 1/2 by 3:
- Find the reciprocal of your whole number. As you may write every whole number as that number over 1, then 3 is 3/1. Its reciprocal is then 1/3.
- Multiply the fractions: 1/2 × 1/3 = (1 × 1) / (2 × 3) = 1/6.
This time you don't need any fraction reduction, as the result will always be in its simplest form. To sum up, the whole operation of dividing fractions by whole numbers looks as follows:
- (1/2) ÷ 3 = (1/2) ÷ (3/1) = 1/2 × 1/3 = (1 × 1) / (2 × 3) = 1/6
So, in other words, you can say that the denominator of your fraction is multiplied by the whole number. In this calculator, enter the whole number by typing it in the left "whole" box of a fraction and leaving the numerator empty with a denominator of 1.
How do you divide a whole number by a fraction?
Dividing a whole number by a fraction works exactly the same way — write the whole number as itself over 1, then multiply by the reciprocal of the fraction. For example, 4 ÷ 2/3:
- 4 ÷ 2/3 = 4/1 × 3/2 = (4 × 3) / (1 × 2) = 12/2 = 6
How to divide mixed fractions?
Division of mixed numbers is also a no-brainer once you know how to divide simple fractions. It just needs one additional step at the beginning — a change from a mixed fraction to an improper fraction. Let's say we want to divide the mixed numbers 2 3/5 by 1 1/6:
- Turn 2 3/5 into an improper fraction: multiply the denominator by the whole number (2 × 5 = 10), add the numerator (10 + 3 = 13), and keep the denominator — you get 13/5.
- Repeat for 1 1/6: ((6 × 1) + 1) / 6 = 7/6.
- Flip the divisor and multiply: 13/5 ÷ 7/6 = 13/5 × 6/7 = (13 × 6) / (5 × 7) = 78/35.
- Change the result back to a mixed number: 78/35 = 2 8/35.
In this calculator, just fill in the whole-number box next to any fraction to enter a mixed number.
Example 1: 3/4 divided by 2 in fraction form
Let's work through the classic example of dividing a fraction by a whole number:
- Write the whole number as a fraction: 2 = 2/1.
- Find the reciprocal of the divisor: 2/1 → 1/2.
- Multiply: 3/4 × 1/2 = (3 × 1) / (4 × 2) = 3/8.
So 3/4 divided by 2 equals 3/8. As a decimal, that's 0.375.
Practical contexts — Units & Currencies
Beyond pure numbers, this calculator supports three practical contexts:
- US Measurement — inches, feet, yards, miles, pounds, ounces, gallons, etc. Handy for carpentry, cooking, and everyday scaling of recipes or plans.
- Metric System — millimeters, centimeters, meters, kilometers, grams, kilograms, liters, etc. Used worldwide for science and engineering.
- Currency — divide monetary fractions in USD ($), Russian Ruble (₽ RUB), Euro (€ EUR), British Pound (£ GBP), Japanese Yen (¥ JPY), Chinese Yuan (¥ CNY), Indian Rupee (₹ INR), Canadian Dollar (C$ CAD), Australian Dollar (A$ AUD), Swiss Franc (CHF), Brazilian Real (R$ BRL), Mexican Peso (MX$ MXN), Korean Won (₩ KRW), and more.
Reading the step-by-step solution
After calculating, the results panel shows:
- Result Fraction — the simplified answer (e.g., 3/8).
- Mixed Number — shown when the result is an improper fraction (e.g., 2 8/35).
- Decimal — the floating-point equivalent.
- Step-by-Step — the original expression, mixed-to-improper conversion, flipping the divisor to a reciprocal, the numerator and denominator products, and the simplification.
Tips for dividing fractions
- Dividing by a fraction is the same as multiplying by its reciprocal (flip the divisor).
- A whole number is just that number over 1 (e.g., 3 = 3/1).
- Always convert mixed numbers to improper fractions before dividing.
- You can never divide by zero — a divisor's top number can't be 0.
- If you'd like to check how other operations on fractions work, take a peek at our versatile fraction calculators.