Decimals with Fractions - PSAT Math
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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?
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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.
Which of the following numbers is between 1/5 and 1/6?
Which of the following numbers is between 1/5 and 1/6?
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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.
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
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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%
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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.
How much less is 
than 
?
How much less is
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$\frac{1}{16}$=.0625
.0665-.0625=.004=\frac{4}{1000}$=\frac{1}{250}$
$\frac{1}{16}$=.0625
.0665-.0625=.004=\frac{4}{1000}$=\frac{1}{250}$
Express as a decimal: 
Express as a decimal:
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Divide 16 by 9:
The "7" repeats forever, so
Divide 16 by 9:
The "7" repeats forever, so
Express as a decimal: 
Express as a decimal:
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Divide 9 by 16:
Divide 9 by 16:
Convert the fraction to a decimal.
Convert the fraction to a decimal.
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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
Write 0.45 as a fraction.
Write 0.45 as a fraction.
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.45 is equivalent to 45 out of 100, or 
.
Divide both the numerator and denominator by 5 to simplify the fraction:
.45 is equivalent to 45 out of 100, or
Divide both the numerator and denominator by 5 to simplify the fraction:
Express as a fraction: 
Express as a fraction:
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Let 
Then
and
Subtract:
Let
Then
and
Subtract:
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?
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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.
Which of the following numbers is between 1/5 and 1/6?
Which of the following numbers is between 1/5 and 1/6?
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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.
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
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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%
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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.
How much less is than ?
How much less is
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$\frac{1}{16}$=.0625
.0665-.0625=.004=\frac{4}{1000}$=\frac{1}{250}$
$\frac{1}{16}$=.0625
.0665-.0625=.004=\frac{4}{1000}$=\frac{1}{250}$
Express as a decimal:
Express as a decimal:
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Divide 16 by 9:
The "7" repeats forever, so
Divide 16 by 9:
The "7" repeats forever, so
Express as a decimal:
Express as a decimal:
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Divide 9 by 16:
Divide 9 by 16:
Convert the fraction to a decimal.
Convert the fraction to a decimal.
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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
Write 0.45 as a fraction.
Write 0.45 as a fraction.
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.45 is equivalent to 45 out of 100, or .
Divide both the numerator and denominator by 5 to simplify the fraction:
.45 is equivalent to 45 out of 100, or
Divide both the numerator and denominator by 5 to simplify the fraction:
Express as a fraction:
Express as a fraction:
Tap to see back →
Let
Then
and
Subtract:
Let
Then
and
Subtract: