Question

What is 1/6 divided by 2/5

Answer 1

Answer: 5/12

Step-by-step explanation: When solving this equation you are going to have to use a method called keep, change, flip. you would keep
`(1)/(6)` , change the division symbol to multiplication (because multiplication is the opposite of division) and flip
`(2)/(5)` to
`(5)/(2)`.

1. 
   `(1)/(6)` x
   `(5)/(2)`
2. 1x5=5
3. 6x2=12
4. 
   `(5)/(12)`

Answer 2

Answer: 5/12

Here is a really quick way to divide fractions. In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/6 x 2/5

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

The complete answer is below (simplified to the lowest form):

1x5 / 6x2 = 5/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

5/12 = 0.4167