Question

During a winter storm, the price of road salt increases 230%. How do you write 230% as a mixed number in simplest form?

Answer 1

Hint: First of all we need to convert the percentage into a fraction. To do this, we remove the percentage sign and divide the number with 100. In the next step cancel the common factors and simplify the fraction. Now, divide the numerator with the denominator and write the quotient (a), remainder (b) and divisor (c) in the form $a\dfrac{b}{c}$ to get the answer.

Complete step by step solution:
Here, we have been provided with the information that the price of road salt increases 230% and we are asked to convert this increment into a mixed number. That means we need to convert it into mixed fraction.
First of all we need to convert the percentage into the required fraction which is done by dividing the given percentage with 100, so we can write,
$\Rightarrow $ Increment in the price of road salt in fractional form = $\dfrac{230}{100}$
Cancelling the common factors we get,
$\Rightarrow $ Increment in the price of road salt in fractional form = $\dfrac{23}{10}$
Now, to convert this into mixed fraction we have to divide 23 with 10 and write the quotient (a), remainder (b) and divisor (c) in the form $a\dfrac{b}{c}$. So, dividing 23 with 10 we have quotient = 2, remainder = 3 and divisor = 10.
$\Rightarrow $ Increment in the price of road salt in mixed fractional form = $2\dfrac{3}{10}$

Hence, our answer is $2\dfrac{3}{10}$.

Note: You must know the conversion relation of an improper fraction into a mixed fraction otherwise it will be difficult to solve the above question. Note that the mixed fraction $a\dfrac{b}{c}$ is read as ‘a whole b divided by c’ and mathematically it is equivalent to the sum $a+\dfrac{b}{c}$. It is necessary to cancel the common factors to reduce the calculation.