Question

How do you find $$7$$ divided by $${\displaystyle \frac{1}{2}}$$?

Answer 1

Hint: In the given question, we have been given an expression that has two numbers separated by a division sign. We have to simplify them. We can do that by changing the division sign into a multiplication sign and making just one necessary change to the fraction on the right side of the division sign. Then we multiply them and simplify them to find the answer.

Formula Used:
Let there be two numbers $$a$$ and $$b$$. Then,
$$a÷b=a\times {\displaystyle \frac{1}{b}}$$

Complete step by step answer:
The given expression is $$p=7÷{\displaystyle \frac{1}{2}}$$.
To solve that, we change the division sign into a multiplication sign by taking the reciprocal of the second fraction.
Hence,
$$p=7\times {\displaystyle \frac{2}{1}}=7\times 2=14$$
So, $$p=14$$

Note: In the given question, we had to divide two numbers – a natural number divided by a fraction. To do that, we change the division sign between the two numbers into multiplication. This is done by taking the reciprocal of the fraction on the right side of the division sign. Then we solve the two numbers by multiplying them, simplify them into the lowest form and that gives us the answer.