Example 6.8 from Prealgebra, 6.1 Understand Percent

Understand Percent: example 6.8

There are four suits of cards in a deck of cards—hearts, diamonds, clubs, and spades. The probability of randomly choosing a heart from a shuffled deck of cards is $25% .$ Convert the percent to:

ⓐ a fraction
ⓑ a decimal

The figure shows someone holding a deck of cards.

Figure 6.4 (credit: Riles32807, Wikimedia Commons)

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

ⓐ

$25%$

Write as a ratio with denominator 100. $\frac{25}{100}$

Simplify. $\frac{1}{4}$

ⓑ $\frac{1}{4}$

Change the fraction to a decimal by dividing the numerator by the denominator. $0.25$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Convert the percent to: ⓐ a fraction, and ⓑ a decimal

The probability that it will rain Monday is $30% .$

How did it go?

ⓐ
	$25%$
Write as a ratio with denominator 100.	$\frac{25}{100}$
Simplify.	$\frac{1}{4}$

ⓑ	$\frac{1}{4}$
Change the fraction to a decimal by dividing the numerator by the denominator.	$0.25$

Solution

Your turn

Solution

Your turn