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PSAT Math : Fractions

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Example Questions

Example Question #1 : How To Find A Fraction From A Percentage

Find the simplified fraction for $\small \small \small 84 \%$

Possible Answers:

$\small \frac{20}{25}$

$\small \frac{43}{50}$

$\small \frac{41}{50}$

$\small \frac{22}{25}$

$\small \frac{21}{25}$

Correct answer:

$\small \frac{21}{25}$

Explanation:

For any percent $\small n \%$ we can write it as a fraction in the form $\small \frac{n}{100}$

So we can write $\small 84 \%$ as $\small \frac{84}{100}$

Then we simplify

$\small \frac{84}{100} = \frac{42}{50} = \frac{21}{25}$

So our simplified answer is $\small \frac{21}{25}$

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Example Question #171 : Arithmetic

You have 2 fair dice that each have 6 faces. On one roll, what's the probability that both dice land on an even number?

Possible Answers:

$\frac{5}{6}$

$\frac{2}{3}$

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{4}$

Explanation:

In order to find the probability of rolling two even numbers on 2 dice we need to find the probability of each dice having an even number on the roll and then multiply them together.

The probability of rolling an even number is

$\frac{3}{6}$

because 2, 4, and 6 are even numbers which goes in the numerator and there are 6 total numbers which goes in the denominator. After this we reduce the fraction and get one half. Then we need to muliply this by probability of the second dice having an even number.

$\frac{1}{2}*\frac{1}{2}= \frac{1}{4}$

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Example Question #171 : Fractions

What is 15% of a $16.73 bill?

Possible Answers:

$\$4.21$

$\$3.00$

$\$2.32$

$\$2.51$

Correct answer:

$\$2.51$

Explanation:

We can re write 15% as a fraction and then use proportions to solve.

$\frac{15}{100}=\frac{x}{\$16.73}$

From here we cross multiply and divide to solve for .

$\frac{15*\$16.73}{100}= \$2.51$

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Example Question #2 : How To Find Fractional Percentages

If a test has a total of questions and $\frac{1}{5}$ of the questions are multiple choice, how many questions are multiple choice?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we set up a ratio. We want to find $\frac{1}{5}$ of . Therefore, we set up the following ratio:

$\frac{1}{5}=\frac{x}{25}$

In the case represents the number of questions that are multiple choice. From here we cross multiply and divide.

$\frac{1*25}{5}=\frac{25}{5}=5$

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PSAT Math : Fractions

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #1 : How To Find A Fraction From A Percentage

Example Question #171 : Arithmetic

Example Question #171 : Fractions

Example Question #2 : How To Find Fractional Percentages

All PSAT Math Resources

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