### Instruction: Find $2.4 \div 6$.### Response: I want to find out how many times 6 goes into 2.4, or equivalently, what fraction of 6 is 2.4.
To make the division easier, I can multiply both the dividend and the divisor by 10, which is the same as moving the decimal point one place to the right.
This gives me $24 \div 60$.
Now I can simplify this fraction by dividing both the numerator and the denominator by 12, which is the greatest common factor of 24 and 60.
This gives me $2 \div 5$.
I can write this as a mixed number by finding out how many times 5 goes into 2 and what is the remainder.
5 goes into 2 zero times, and the remainder is 2.
So $2 \div 5$ is the same as $0 \frac{2}{5}$.
Alternatively, I can write this as a decimal by dividing 2 by 5 using long division.
I get 0.4 as the quotient and no remainder.
So $2 \div 5$ is the same as 0.4.
Either way, I have found the answer.