Question

How do you convert $3.5$ into a fraction and percent?

Answer 1

Hint:We will convert the given number into fraction and then into percentage by multiplying the number with $\dfrac{1}{{100}}$. Now if the percentage doesn’t turn out to be a whole number, we will try to convert that number to decimal by multiplying or dividing the number by $10$.

Complete step by step answer:
We will start off by converting $3.5$ into fraction.

We can write $3.5$ as $\dfrac{{3.5}}{1}$.

Then further we can write $\dfrac{{35}}{{10}}$. Now if we reduce $\dfrac{{35}}{{10}}$, it becomes
$\dfrac{7}{2}$.

Hence, the fractional form of $3.5$ is $\dfrac{7}{2}$.

Now to convert $3.5$ to percentage, we multiply $3.5$ by $100\% $.
\[
= \dfrac{7}{2} \times 100\% \\
= 350\% \\
\]

Change the denominator to $100$, this gives the $\% $ immediately.
\[
= \dfrac{{7 \times 50}}{{2 \times 50}} \\
= \dfrac{{350}}{{100}} \\
= 350\% \\
\]

Hence, the decimal form of $3.5$ is $350\% $.

Therefore, the fractional and decimal forms of $3.5$ are $\dfrac{7}{2}$ and $350\% $.

Additional Information: Percentage is always based off of $100\% $, so decimals up to the hundredths place will always be integers, and the numbers after the hundredths place will be after the decimal. The tens place in the percent will always be in the tenths place in decimal form as well. To convert from decimals to percentage, you will multiply by $100$, which gives you the percentage equivalent of the percent. While converting from decimal to fraction, we will multiply both the numerator and denominator by $10$.

Note: While converting decimal into fraction, make sure you evaluate all the decimal terms properly and then only multiply by $10$ to the numerator as well as denominator. While converting to percentage make sure you multiply by $100\% $ to the given term for the percentage. Do all the calculations precisely.