Decimals with Fractions - PSAT Math
Card 1 of 56
Which of the following numbers is between 1/5 and 1/6?
Which of the following numbers is between 1/5 and 1/6?
Tap to reveal answer
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
← Didn't Know|Knew It →
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Tap to reveal answer
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
← Didn't Know|Knew It →
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?
The ogre under the bridge eats
Tap to reveal answer
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%
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%
← Didn't Know|Knew It →
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
How much less is 
than 
?
How much less is
Tap to reveal answer
← Didn't Know|Knew It →
Express as a decimal: 
Express as a decimal:
Tap to reveal answer
Divide 16 by 9:
The "7" repeats forever, so
Divide 16 by 9:
The "7" repeats forever, so
← Didn't Know|Knew It →
Express as a decimal: 
Express as a decimal:
Tap to reveal answer
Divide 9 by 16:
Divide 9 by 16:
← Didn't Know|Knew It →
Convert the fraction to a decimal.
Convert the fraction to a decimal.
Tap to reveal answer
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.
We can multiply our numerator and denominator by
← Didn't Know|Knew It →
Which of the following numbers is between 1/5 and 1/6?
Which of the following numbers is between 1/5 and 1/6?
Tap to reveal answer
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
← Didn't Know|Knew It →
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Tap to reveal answer
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
← Didn't Know|Knew It →
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?
The ogre under the bridge eats
Tap to reveal answer
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%
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%
← Didn't Know|Knew It →
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
How much less is than ?
How much less is
Tap to reveal answer
← Didn't Know|Knew It →
Express as a decimal:
Express as a decimal:
Tap to reveal answer
Divide 16 by 9:
The "7" repeats forever, so
Divide 16 by 9:
The "7" repeats forever, so
← Didn't Know|Knew It →
Express as a decimal:
Express as a decimal:
Tap to reveal answer
Divide 9 by 16:
Divide 9 by 16:
← Didn't Know|Knew It →
Convert the fraction to a decimal.
Convert the fraction to a decimal.
Tap to reveal answer
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.
We can multiply our numerator and denominator by
← Didn't Know|Knew It →
Which of the following numbers is between 1/5 and 1/6?
Which of the following numbers is between 1/5 and 1/6?
Tap to reveal answer
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
← Didn't Know|Knew It →
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Tap to reveal answer
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
← Didn't Know|Knew It →
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?
The ogre under the bridge eats
Tap to reveal answer
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%
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%
← Didn't Know|Knew It →
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →