3/4 divided by 2/5

So I think then I turn it into.

3/4 x 5/2

then I'm a bit confused after this.
Find the common denominators?
(Which would be 8)

In my lesson it says for 3 and 2 find their common factor. And it's 1. But that won't change anything.

Could someone please explain how to find the answer.

4 is the common denominator in the equation because 4 is a multiple of 2 which means that 2 times something (2) equals 4. You then would have 3/4*10/4.

Ah I understand now! Thank you Anonymous.

You do NOT need a common denominator for multiplication and division of fractions.

3/4 x 5/2
= simply 15/8

the answer given by anonymous of
3/4*10/4 is not incorrect, but it can be reduced.
= 30/16 = 15/8

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction. Let's go step by step:

1. Start with the division problem: 3/4 ÷ 2/5.
2. To change division into multiplication, we need to find the reciprocal of the second fraction. The reciprocal of 2/5 is 5/2.
3. Now, rewrite the problem as a multiplication problem: 3/4 × 5/2.
4. To simplify further, we can multiply numerators and denominators across: (3 × 5) / (4 × 2).
5. Calculate the numerator: 3 × 5 = 15.
6. Calculate the denominator: 4 × 2 = 8.
7. The final answer is 15/8.

To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case. Since the GCD is 1, we cannot simplify it further. Therefore, the answer to 3/4 ÷ 2/5 is 15/8.

It seems like you also tried finding the common denominator or common factor. However, for division, we don't need to find the common denominator like in addition or subtraction of fractions. Instead, we only need to find the reciprocal of the second fraction and then proceed with the multiplication as explained above.