What is 3/4 divided by 1/4?

Answer 1

Be very careful! If you're just starting out learning how to divide fractions, remember this. You do not need to have a common denominator! And, you do not divide straight through-in the denominator or numerator.

Students have the tendency to do the following when the denominators are the same:

34÷14=3÷14=3434÷14=3÷14=34

is the wrong answer

or

34÷14=3÷14÷4=31=334÷14=3÷14÷4=31=3

Happens to be the right answer but the procedure is completely wrong. Which means you lucked out. If you apply the same procedure to a different set of fractions, the answer will most likely be incorrect.

Correct procedure

34÷14=34÷14=

34×41=34×41= [It’s always the right fraction that gets flipped and ÷÷ changes to ××]

3×44×1=3×44×1=3

3. Correct final answer

Note:

After, becoming well versed in dividing fractions, you will see that there are times when you can divide straight through. That is,

𝑎𝑏÷𝑐𝑑=ab÷cd = does equal = 𝑎÷𝑐𝑏÷𝑑=a÷cb÷d

I believe others have posted why. But, if it's too much to remember just stick with the general procedure above.