Question

Ben earns $$12,800$ a year. About $15\% $ is taken out for taxes. How much is taken out for taxes?

Answer 1

Hint: Percentage is the number or ratio expressed as a fraction of hundred. Here we will take the amount which Ben earns per year and will find out the percentage of taxes and will simplify for the resultant required value.

Complete step by step answer:
Take the given amount: $\$ 12,800$$2$$10$It can be expressed as the percentage when the given expression is multiplied with $15\% $
$ = \left( {\$ 12800 \times 15\% } \right)$
Simplify the above expression -
$ = \left( {128 \times 100 \times \dfrac{{15}}{{100}}} \right)$
Common factors from the numerator and the denominator cancels each other. Therefore, remove from the numerator and the denominator.
$ = \left( {128 \times 15} \right)$
Simplify the above expression finding the product of the terms.
$ = 1920\$ $

Hence, $\$ 1920$was taken out for the taxes.

Additional Information:
To convert decimal into fraction, place the decimal number over its place value. For example, for $0.2$ the two is in the tenths place so that we place over to create the equivalent fraction i.e. $\dfrac{2}{{10}}$ and similarly if there is two digits after decimal point, for $0.25$ the $25$ is in the hundredths place so that we place $25$ over $100$ to create the equivalent fraction i.e. $\dfrac{{25}}{{100}}$.

Note: Be careful while simplifying equations and always remember when its percentage is with respect to hundred. Convert the decimal point in the form of fraction. Always remember that percentage is always based off $100\% $ so the decimals up to the hundredths place will always be integers and the numbers after the hundredths place will be after the decimal and the tens place in the percentage will always be in the tenths place in the decimal form as well.