3/4 ÷ 2/5
- 1.Flip the second fraction: 2/5 becomes 5/2
- 2.Multiply: 3/4 × 5/2 = 15/8 (nothing to cancel)
- 3.15/8 is top-heavy: 15/8 = 1 7/8
1 7/8
Verified backwards: 1 7/8 × 2/5 = 3/4 ✓.
Dividing Fractions Calculator — flip it, multiply it, prove it
Keep, change, flip — the reciprocal step is never skipped, the multiplication shows its cancelling, and the quotient is checked by multiplying back to the dividend.
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- ✓Every answer verified before you see it
In short
To divide fractions, keep the first fraction, change the division sign to multiplication, and flip the second fraction into its reciprocal — then multiply as normal, cancelling first where possible. VerifySolve shows the flip as its own step, runs the multiplication with the cancelling visible, and proves the quotient by multiplying it back by the divisor to recover the dividend.
Dividing fractions, three cases
Every division problem on this page is one move — flip the second fraction — followed by ordinary multiplication. The cases differ only in the preparation.
The flip
Then multiply
Whole number divisor
Mixed numbers first
Worked examples — flipped, multiplied, checked
From a plain flip-and-multiply to a whole number divided by a fraction, where the answer is bigger than the start — correctly.
1/2 ÷ 1/4
- 1.Flip: 1/4 becomes 4/1
- 2.Cross-cancel: 1/2 × 4/1 becomes 1/1 × 2/1
2
Verified backwards: 2 × 1/4 = 1/2 ✓. Two quarters fit in a half.
2 ÷ 1/3
- 1.Write 2 as 2/1; flip 1/3 to 3/1
- 2.Multiply: 2/1 × 3/1 = 6/1
6
Verified backwards: 6 × 1/3 = 2 ✓.
1 1/2 ÷ 3/4
- 1.Convert: 1 1/2 = 3/2
- 2.Flip: 3/4 becomes 4/3
- 3.Cross-cancel: 3/2 × 4/3 becomes 1/1 × 2/1
2
Verified backwards: 2 × 3/4 = 1 1/2 ✓.
Common mistakes — and how to dodge them
Flipping the first fraction
Only the SECOND fraction flips. 3/4 ÷ 2/5 is 3/4 × 5/2, not 4/3 × 2/5. The dividend stays exactly as written — flip the divisor and nothing else. The backwards check catches a wrong flip instantly, because the product will not return the dividend.
Dividing tops and bottoms separately
6/10 ÷ 2/5 can be done as (6÷2)/(10÷5) = 3/2 — but only because both divisions come out whole. It fails the moment they do not (3/4 ÷ 2/5 has no whole divisions). The flip method works every time; the shortcut works sometimes. Learn the method, not the shortcut.
Dividing by zero and getting “0”
3/4 ÷ 0 is not 0 — it has no answer at all, because 0 has no reciprocal. 0 ÷ 3/4 = 0 is the true statement, and it is easy to confuse the two. The calculator refuses division by zero outright rather than printing a made-up number.
Dividing Fractions Calculator — questions
How do you divide fractions?
Keep the first fraction, change ÷ to ×, and flip the second fraction into its reciprocal — then multiply as normal. 3/4 ÷ 2/5 becomes 3/4 × 5/2 = 15/8 = 1 7/8. The calculator shows the flip as its own step, so it is never skipped or misremembered.
Why does flipping the second fraction work?
Because dividing by a number is the same as multiplying by its reciprocal — the number that multiplies with it to make 1. 2/5 × 5/2 = 1, so dividing by 2/5 is exactly multiplying by 5/2. The flip is not a trick; it is the definition of division.
Can you divide a fraction by a whole number?
Yes. Write the whole number as a fraction (2 becomes 2/1), flip it (1/2), and multiply: 3/4 ÷ 2 = 3/4 × 1/2 = 3/8. The calculator handles whole numbers on either side of the ÷ sign.
Why is the answer sometimes bigger than the fraction you started with?
Dividing by a fraction smaller than 1 asks “how many of these small pieces fit in here?” — and more small pieces fit than big ones. 1/2 ÷ 1/4 = 2 because two quarters fit in a half. A quotient bigger than the dividend is expected, not an error.
How is a division answer verified?
By multiplying back: the answer times the divisor must return the dividend exactly. 1 7/8 × 2/5 = 3/4 proves that 3/4 ÷ 2/5 = 1 7/8. The check is computed with exact fractions and printed on the page.
Can you divide by zero?
No — zero has no reciprocal, so division by zero has no answer. The calculator refuses it plainly instead of inventing one. Dividing zero by something is fine: 0 ÷ 3/4 = 0.
Is the dividing fractions calculator free?
Yes — free, no sign-up, no app, full steps and verification included.
Keep solving
Fraction Calculator →
The hub: all four operations in one box, plus simplifying.
Multiplying Fractions Calculator →
Division becomes multiplication after the flip — the same cancel-and-multiply steps.
Adding Fractions Calculator →
Where the common denominator actually belongs — numerators added.
Subtracting Fractions Calculator →
Common denominators and borrow-free mixed subtraction.
Mixed Number Calculator →
Mixed ↔ improper conversion both ways, and mixed-number arithmetic.
Simplifying Fractions Calculator →
Reduce any fraction to lowest terms with the GCD step shown.
A note on honest use: VerifySolve is built for learning. Use the steps to understand the method, then close the tab and try one on your own — that is where the grade actually comes from. If your teacher or school has a policy on calculators, follow it.