Question

How do you find the quotient of $45$ divided by $5/11$ ?

Answer 1

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 $45$ into fraction.

We can write $45$ as $\dfrac{{45}}{1}$.

It becomes very easy to understand if we compare two fractions rather than comparing a decimal
with a fraction.

Also, you should understand that when you divide a number by a fraction, it is the same as multiplying that number by the reciprocal of that fraction; that is, reciprocals are just the fraction flipped.
$= \dfrac{{45}}{1} \\\ = \dfrac{{45}}{1} \times \dfrac{{11}}{5} \\\ = \dfrac{{495}}{5} \\\ = 99 \\\$

Hence, the quotient of $45$ when divided by $5/11$ is given by $99$.

Additional Information: Percentage is always based on $100\%$, 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.