To divide fractions with whole numbers, you can use one super-simple rule:

Keep the fraction, flip the whole number into a fraction, then multiply.

How to Divide Fractions with Whole Numbers

When you see something like
34÷5\frac{3}{4}\div 543​÷5, you’re dividing a fraction by a whole number.

Step-by-step method (reciprocal trick)

  1. Write the whole number as a fraction
    Any whole number aaa can be written as 1a\frac{1}{a}a1​ when you flip it.

    • So 5 becomes 15\frac{1}{5}51​.

  2. Change division to multiplication
    Replace “÷” with “×” and use the flipped version of the whole number.

    • 34÷5=34×15\frac{3}{4}\div 5=\frac{3}{4}\times \frac{1}{5}43​÷5=43​×51​.

  3. Multiply straight across

    • Multiply numerators: 3×1=33\times 1=33×1=3.
    • Multiply denominators: 4×5=204\times 5=204×5=20.
    • So 34÷5=320\frac{3}{4}\div 5=\frac{3}{20}43​÷5=203​.

  4. Simplify if you can
    If the fraction can be reduced, divide top and bottom by the same number.
    In this case, 320\frac{3}{20}203​ is already simplified.

So the general rule :
If you have xy÷a\frac{x}{y}\div ayx​÷a, then

xy÷a=xy×1a=xya\frac{x}{y}\div a=\frac{x}{y}\times \frac{1}{a}=\frac{x}{ya}yx​÷a=yx​×a1​=yax​

Super-quick shortcut

Once you understand the reciprocal idea, you can use this shortcut:

  • Multiply the denominator by the whole number.
    • Example: 58÷4\frac{5}{8}\div 485​÷4
      Just do 8×4=328\times 4=328×4=32 → answer is 532\frac{5}{32}325​.

You’re really doing the same thing as the reciprocal trick, just skipping a written step.

A few worked examples

Example 1

19÷7\frac{1}{9}\div 791​÷7

  • Flip 7 → 17\frac{1}{7}71​
  • Multiply: 19×17=163\frac{1}{9}\times \frac{1}{7}=\frac{1}{63}91​×71​=631​

Or shortcut: 9×7=639\times 7=639×7=63 → 163\frac{1}{63}631​.

Example 2

25÷4\frac{2}{5}\div 452​÷4

  • Flip 4 → 14\frac{1}{4}41​
  • Multiply: 25×14=220\frac{2}{5}\times \frac{1}{4}=\frac{2}{20}52​×41​=202​
  • Simplify: divide top and bottom by 2 → 110\frac{1}{10}101​.

Example 3 (word-style)

You have 34\frac{3}{4}43​ of a pizza and you want to share it equally among 6 people. How much does each person get?

That is 34÷6\frac{3}{4}\div 643​÷6.

  • Flip 6 → 16\frac{1}{6}61​
  • Multiply: 34×16=324\frac{3}{4}\times \frac{1}{6}=\frac{3}{24}43​×61​=243​
  • Simplify: divide by 3 → 18\frac{1}{8}81​.

Each person gets 18\frac{1}{8}81​ of the pizza.

Bonus: Whole number ÷ fraction

Sometimes the whole number comes first, like 3÷253\div \frac{2}{5}3÷52​.
This is the reverse situation:

  1. Flip the fraction : reciprocal of 25\frac{2}{5}52​ is 52\frac{5}{2}25​.
  2. Multiply : 3×52=1523\times \frac{5}{2}=\frac{15}{2}3×25​=215​.
  3. You can leave it as 152\frac{15}{2}215​ or write it as a mixed number 7127\frac{1}{2}721​.

The idea is the same: keep the first number, flip the second, multiply.

Mini story to remember it

Imagine division is a bit shy and doesn’t like to do the work.
So whenever it sees a fraction or whole number, it says:

“I’ll let multiplication handle this—but only if you flip the second number.”

So:

  • Keep the first number exactly as it is.
  • Flip the second number (find the reciprocal).
  • Change ÷ to ×.
  • Multiply across.

If you want, I can generate a quick practice set with answers so you can test yourself.