How to find decimal equivalent to a percentage - ACT Math

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Question

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?

Answer

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

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Question

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?

Answer

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.

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Question

Express the following as a decimal:

Answer

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

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Question

Which of the following is equivalent to ?

Answer

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

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Question

A share in a stock is added to a share by speculators. What is the decimal equivalent of the combined shares?

Answer

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

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