Question

How do you convert 70% to a fraction in simplest form?

Answer 1

Hint: In this problem, we have to convert the given percentage into its fraction form. We know that we can write percentage form in another way, that is we can remove the percentage symbol and can divide the given number by 100. Then we can further simplify the number which is divided by 100 into its simplest form using multiplication tables.

Complete step by step answer:
We know that the given percentage to be converted into a fraction in simplest form is 70%.
We can now write the given percentage into its fraction form, we get
\[\Rightarrow \] 70% = \[\dfrac{70}{100}\]
Here we have removed the percentage symbol and divided the number by 100 to get a fraction form.
Now we can simplify the above fraction further.
We can split the numerator and the denominator, with the multiples of 10, we know that 70 is the multiples of 7 and 10 and 100 is the multiples of 10 and 10.
We get,
\[\Rightarrow \dfrac{70}{100}=\dfrac{7\times 10}{10\times 10}\] .
Now we can cancel the similar terms in the above step, we get
\[\Rightarrow 70\%=\dfrac{7}{10}\]
Therefore, the answer is \[\dfrac{7}{10}\].

Note:
We should know that we can write percentage form in another way, that is we can remove the percentage symbol and can divide the given number by 100. We can also simply further, if asked to write its simplest form. We should know multiplication tables to cancel and solve these types of problems.