Question

Consider a survey involving the cookie preferences of a sample of 1,214 adults. If 9% answered "sugar/shortbread," find the decimal and reduced fraction of that percentage.
decimal :

reduced fraction :

Answer 1

Answer:

Decimal: 0.09

Reduced fraction: $\frac{9}{100}$

Step-by-step explanation:

To find the decimal form of a percentage, we solve a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

Percantage problems are an example of direct rule of three.

100% is 1 decimal. What is the decimal of 9%?

So:

100% - 1

9% - x

$100x = 9$

$x = \frac{9}{100}$

$x = 0.09$

Reduced fraction :

The numerator is the percentage, the denominator is 100%. So

$\frac{9}{100}$