Fractions, Decimals, and Percents - GRE Quantitative Reasoning
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What is the rule to convert a decimal $d$ to a percent?
What is the rule to convert a decimal $d$ to a percent?
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Compute $100d%$. Multiplying the decimal by 100 converts it to an equivalent percentage value.
Compute $100d%$. Multiplying the decimal by 100 converts it to an equivalent percentage value.
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What is the rule to convert a fraction $rac{a}{b}$ to a decimal?
What is the rule to convert a fraction $rac{a}{b}$ to a decimal?
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Compute $a \div b$. Dividing the numerator by the denominator directly yields the decimal representation of the fraction.
Compute $a \div b$. Dividing the numerator by the denominator directly yields the decimal representation of the fraction.
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What is the percent form of $rac{7}{8}$?
What is the percent form of $rac{7}{8}$?
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$87.5%$. Multiplying $rac{7}{8}$ by 100 gives this percentage equivalent.
$87.5%$. Multiplying $rac{7}{8}$ by 100 gives this percentage equivalent.
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What is the decimal form of $rac{7}{8}$?
What is the decimal form of $rac{7}{8}$?
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$0.875$. Dividing 7 by 8 results in this terminating decimal.
$0.875$. Dividing 7 by 8 results in this terminating decimal.
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What is the percent form of $rac{2}{5}$?
What is the percent form of $rac{2}{5}$?
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$40%$. Multiplying $rac{2}{5}$ by 100 converts it to this percentage.
$40%$. Multiplying $rac{2}{5}$ by 100 converts it to this percentage.
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What is the decimal form of $rac{2}{5}$?
What is the decimal form of $rac{2}{5}$?
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$0.4$. Dividing 2 by 5 produces this terminating decimal.
$0.4$. Dividing 2 by 5 produces this terminating decimal.
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What is the fraction in simplest form for $20%$?
What is the fraction in simplest form for $20%$?
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$\frac{1}{5}$. Dividing 20 by 100 and simplifying yields this reduced fraction.
$\frac{1}{5}$. Dividing 20 by 100 and simplifying yields this reduced fraction.
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What is the fraction in simplest form for the repeating decimal $0.\overline{3}$?
What is the fraction in simplest form for the repeating decimal $0.\overline{3}$?
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$\frac{1}{3}$. The repeating decimal 0.333... equals $rac{1}{3}$ as its fractional equivalent.
$\frac{1}{3}$. The repeating decimal 0.333... equals $rac{1}{3}$ as its fractional equivalent.
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What is the percent decrease from $80$ to $68$?
What is the percent decrease from $80$ to $68$?
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$15%$. The percent decrease formula is $rac{80-68}{80} imes 100%$, resulting in this value.
$15%$. The percent decrease formula is $rac{80-68}{80} imes 100%$, resulting in this value.
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What is the percent increase from $50$ to $60$?
What is the percent increase from $50$ to $60$?
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$20%$. The formula for percent increase is $rac{60-50}{50} imes 100%$, yielding this result.
$20%$. The formula for percent increase is $rac{60-50}{50} imes 100%$, yielding this result.
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What is $25%$ of $60$?
What is $25%$ of $60$?
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$15$. Multiplying 60 by 0.25 determines 25% of the amount.
$15$. Multiplying 60 by 0.25 determines 25% of the amount.
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What is $15%$ of $80$?
What is $15%$ of $80$?
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$12$. Multiplying 80 by 0.15 calculates 15% of the value.
$12$. Multiplying 80 by 0.15 calculates 15% of the value.
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What is the fraction in simplest form for the decimal $0.125$?
What is the fraction in simplest form for the decimal $0.125$?
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$\frac{1}{8}$. Writing 0.125 as $rac{125}{1000}$ and reducing yields this simplest fraction.
$\frac{1}{8}$. Writing 0.125 as $rac{125}{1000}$ and reducing yields this simplest fraction.
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What is the fraction in simplest form for the decimal $0.2$?
What is the fraction in simplest form for the decimal $0.2$?
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$\frac{1}{5}$. Expressing 0.2 as $rac{2}{10}$ and simplifying results in this fraction.
$\frac{1}{5}$. Expressing 0.2 as $rac{2}{10}$ and simplifying results in this fraction.
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What is the percent form of the decimal $0.08$?
What is the percent form of the decimal $0.08$?
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$8%$. Multiplying 0.08 by 100 expresses the decimal as this percentage.
$8%$. Multiplying 0.08 by 100 expresses the decimal as this percentage.
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What is the decimal form of $37.5%$?
What is the decimal form of $37.5%$?
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$0.375$. Dividing 37.5 by 100 converts the percentage to this decimal.
$0.375$. Dividing 37.5 by 100 converts the percentage to this decimal.
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What is the fraction in simplest form for $12.5%$?
What is the fraction in simplest form for $12.5%$?
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$\frac{1}{8}$. Dividing 12.5 by 100 and reducing gives this simplest fraction.
$\frac{1}{8}$. Dividing 12.5 by 100 and reducing gives this simplest fraction.
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What is the percent form of $rac{3}{4}$?
What is the percent form of $rac{3}{4}$?
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$75%$. Multiplying $rac{3}{4}$ by 100 results in this percentage.
$75%$. Multiplying $rac{3}{4}$ by 100 results in this percentage.
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What is the percent form of $rac{1}{4}$?
What is the percent form of $rac{1}{4}$?
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$25%$. Multiplying $rac{1}{4}$ by 100 gives this percentage equivalent.
$25%$. Multiplying $rac{1}{4}$ by 100 gives this percentage equivalent.
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What is the percent form of $rac{1}{2}$?
What is the percent form of $rac{1}{2}$?
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$50%$. Multiplying $rac{1}{2}$ by 100 converts it to this percentage.
$50%$. Multiplying $rac{1}{2}$ by 100 converts it to this percentage.
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What is the decimal form of $rac{3}{4}$?
What is the decimal form of $rac{3}{4}$?
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$0.75$. Dividing 3 by 4 yields this terminating decimal.
$0.75$. Dividing 3 by 4 yields this terminating decimal.
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What is the decimal form of $rac{1}{4}$?
What is the decimal form of $rac{1}{4}$?
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$0.25$. Dividing 1 by 4 produces this terminating decimal.
$0.25$. Dividing 1 by 4 produces this terminating decimal.
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What is the decimal form of $rac{1}{2}$?
What is the decimal form of $rac{1}{2}$?
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$0.5$. Dividing 1 by 2 results in this terminating decimal.
$0.5$. Dividing 1 by 2 results in this terminating decimal.
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What is the rule to convert a percent $p%$ to a fraction in simplest form?
What is the rule to convert a percent $p%$ to a fraction in simplest form?
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Write $\frac{p}{100}$ and reduce. Expressing the percentage as a fraction over 100 and simplifying gives the reduced form.
Write $\frac{p}{100}$ and reduce. Expressing the percentage as a fraction over 100 and simplifying gives the reduced form.
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What is the rule to convert a percent $p%$ to a decimal?
What is the rule to convert a percent $p%$ to a decimal?
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Compute $\frac{p}{100}$. Dividing the percentage value by 100 expresses it as a decimal equivalent.
Compute $\frac{p}{100}$. Dividing the percentage value by 100 expresses it as a decimal equivalent.
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