All PSAT Math Resources
Example Questions
Example Question #1 : How To Find The Decimal Equivalent Of A Fraction
How much less is than ?
is greater than .
Example Question #1 : Decimals
The ogre under the bridge eats of a pizza and then throws the rest of the pizza to the rats. The rats eat of what is left. What fraction of the pizza is left when the rats are done?
1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.
1/4 * 1/5 = 1/20 = 5%
Example Question #2041 : Psat Mathematics
Express as a decimal:
Divide 16 by 9:
The "7" repeats forever, so
Example Question #2042 : Psat Mathematics
Express as a decimal:
Divide 9 by 16:
Example Question #2043 : Psat Mathematics
Convert the fraction to a decimal.
We can multiply our numerator and denominator by , which leads to . From here we divide by our denominator, moving the decimal two places to the left.
Example Question #2 : How To Find The Decimal Equivalent Of A Fraction
0.05
0.07
0.01
0.10
0.04
0.07
Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.
Example Question #1 : Decimals
Write 0.45 as a fraction.
.45 is equivalent to 45 out of 100, or .
Divide both the numerator and denominator by 5 to simplify the fraction:
Example Question #5 : Decimals
Express as a fraction:
Let
Then
and
Subtract:
Example Question #1 : How To Multiply Decimals
45.728 x 3.2 = ?
14.63296
14632.96
146329.6
1463.296
146.3296
146.3296
Multiply the numbers out in long format, then move the decimal point over the total number of decimal points in the two numbers (3 in the first, 1 in the second, so 4 total):
45.728 * 3.2 = 91456
91456 + 1371840 = 1,463,296 → 146.3296
Or just count the decimal points in the answer and make sure it's 4.
Example Question #2 : Decimals
At the farmer's market, oranges are $0.30 each, apples are $0.25 each, bananas are $0.40 each, and tomatoes are $0.60 each. If Scott buys 3 oranges, 7 apples, 4 bananas, and 8 tomatoes, how much does he spend?
$6.80
$10.40
$7.75
$9.05
$11.40
$9.05
To find out how much Scott spends, we need to multiply the quantity of each fruit by its price and add them all up.
3 * $0.30 + 7 * $0.25 + 4 * $0.40 + 8 * $0.60 = $9.05