A city's sales tax is 0.07 write this decimal as a fraction and tell how many cents of tax are on each dollar
as a fraction it is 7/100 and it would be 7 cents for each dollar. it is $1x.07
we know that
To convert the decimal as fraction in this problem, multiply and divide by one hundred
\(0.07=0.07*\frac{100}{100}=\frac{0.07*100}{100}=\frac{7}{100}\)
therefore
the answer Part a) is
the decimal as fraction is equal to \(\frac{7}{100}\)
Part b)
we know that
\(1\) dollar is equal to \(100\) cents
\(1\) cent is equal to \(0.01\) dollars
the tax is equal to \(0.07\) dollars
so
by proportion
\(\frac{100}{1} \frac{cents}{dollar}=\frac{x}{0.07} \frac{cents}{dollars}\\ \\x=100*0.7\\ \\x=7\ cents\)
the tax is equal to \(7\) cents
therefore
the answer part b) is
There are \(7\) cents of tax in each dollar