ACT Math : How to find decimal equivalent to a percentage

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #121 : Arithmetic

Students at a country fair typically spend $40.  The students have agreed to spend 40% less at this year's fair.  Assuming all the students follow their new agreement, what is the most that could be spent by a student at this year's fair?

Possible Answers:

$24

$20

$30

$10

$16

Correct answer:

$24

Explanation:

This is a percentage problem, so it is important to know that 40% of some value is equal to 0.4 of said value.  So to find 40% of $40, we multiply 40 * 0.40, which equals 16.  This 16 represents 40% of the original value of $40. So if a student was to spend 40% less than they usually spend, we would subtract $16, which is 40% of the original value, from $40, giving us an answer of $24.  

Example Question #122 : Arithmetic

There are n pennies in a jar. Let p represent the decimal ratio of the pennies that are dated before 1983. Which of the following equations repesents the number of pennies that are dated 1983 or later?

Possible Answers:

n(100-p)

np

n(1-p)

n(1-p)/100

Correct answer:

n(1-p)

Explanation:

The proportion of pennies before 1983 would be np. Therefore, the pennies dated 1983 or later would be n(1-p).

Example Question #123 : Arithmetic

Express the following as a decimal:

\displaystyle 143\%

Possible Answers:

\displaystyle 14.3

\displaystyle .143

\displaystyle 143

\displaystyle 1.43

\displaystyle 14300

Correct answer:

\displaystyle 1.43

Explanation:

To convert a percentage to a decimal, you must add a decimal two points to the left from the right hand side. Thus,

\displaystyle 143\%\rightarrow 1.43

Example Question #124 : Arithmetic

Which of the following is equivalent to \displaystyle 19 \frac{3}{4} \% ?

Possible Answers:

\displaystyle .1934

\displaystyle 1.975

\displaystyle 0.1975

\displaystyle 19.75

\displaystyle 1.934

Correct answer:

\displaystyle 0.1975

Explanation:

To find a decimal from a percentage, divide the percentage value by \displaystyle 100. In this case, convert the fraction to a decimal first:

\displaystyle 19 \frac{3}{4}\% = 19.75 \% = 0.1975

Example Question #123 : Arithmetic

\displaystyle 42 \% share in a stock is added to a \displaystyle 72 \% share by speculators. What is the decimal equivalent of the combined shares?

Possible Answers:

\displaystyle 114.0

\displaystyle 1.14

\displaystyle 30.24

\displaystyle 0.114

\displaystyle 0.3024

Correct answer:

\displaystyle 1.14

Explanation:

To convert from a percentage to a decimal, divide the decimal by \displaystyle 100. In this case, we can add the percentages first.

\displaystyle 42 \% + 72 \% = 114 \% = 1.14

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