GRE Quantitative Flashcards: Fractions Decimals Percents

What this deck covers

This deck focuses on Fractions Decimals Percents, giving you a quick way to review the definitions, rules, and examples that matter most for GRE Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the rule to convert a percent $p\%$ to a fraction in simplest form?

Answer: Write $\frac{p}{100}$ and reduce. Expressing the percentage as a fraction over 100 and simplifying gives the reduced form.

Flashcard 2: What is the decimal form of rac{3}{4}?

Answer: $0.75$. Dividing 3 by 4 yields this terminating decimal.

Flashcard 3: What is the percent form of rac{7}{8}?

Answer: $87.5\%$. Multiplying rac{7}{8} by 100 gives this percentage equivalent.

Flashcard 4: What is the decimal form of $37.5\%$?

Answer: $0.375$. Dividing 37.5 by 100 converts the percentage to this decimal.

Flashcard 5: What is $25\%$ of $60$?

Answer: $15$. Multiplying 60 by 0.25 determines 25% of the amount.

Flashcard 6: What is the decimal form of rac{2}{5}?

Answer: $0.4$. Dividing 2 by 5 produces this terminating decimal.

Flashcard 7: What is the rule to convert a percent $p\%$ to a decimal?

Answer: Compute $\frac{p}{100}$. Dividing the percentage value by 100 expresses it as a decimal equivalent.

Flashcard 8: What is the fraction in simplest form for the decimal $0.125$?

Answer: $\frac{1}{8}$. Writing 0.125 as rac{125}{1000} and reducing yields this simplest fraction.

Flashcard 9: What is the fraction in simplest form for the repeating decimal $0.\overline{3}$?

Answer: $\frac{1}{3}$. The repeating decimal 0.333... equals rac{1}{3} as its fractional equivalent.

Flashcard 10: What is the decimal form of rac{1}{4}?

Answer: $0.25$. Dividing 1 by 4 produces this terminating decimal.

Flashcard 11: What is the percent increase from $50$ to $60$?

Answer: $20\%$. The formula for percent increase is rac{60-50}{50} imes 100%, yielding this result.

Flashcard 12: What is $15\%$ of $80$?

Answer: $12$. Multiplying 80 by 0.15 calculates 15% of the value.

Flashcard 13: What is the fraction in simplest form for $12.5\%$?

Answer: $\frac{1}{8}$. Dividing 12.5 by 100 and reducing gives this simplest fraction.

Flashcard 14: What is the fraction in simplest form for $20\%$?

Answer: $\frac{1}{5}$. Dividing 20 by 100 and simplifying yields this reduced fraction.

Flashcard 15: What is the percent form of rac{1}{2}?

Answer: $50\%$. Multiplying rac{1}{2} by 100 converts it to this percentage.

Flashcard 16: What is the percent form of rac{1}{4}?

Answer: $25\%$. Multiplying rac{1}{4} by 100 gives this percentage equivalent.

Flashcard 17: What is the rule to convert a fraction rac{a}{b} to a decimal?

Answer: Compute $a \div b$. Dividing the numerator by the denominator directly yields the decimal representation of the fraction.

Flashcard 18: What is the decimal form of rac{7}{8}?

Answer: $0.875$. Dividing 7 by 8 results in this terminating decimal.

Flashcard 19: What is the fraction in simplest form for the decimal $0.2$?

Answer: $\frac{1}{5}$. Expressing 0.2 as rac{2}{10} and simplifying results in this fraction.

Flashcard 20: What is the rule to convert a decimal $d$ to a percent?

Answer: Compute $100d\%$. Multiplying the decimal by 100 converts it to an equivalent percentage value.

Flashcard 21: What is the percent form of rac{2}{5}?

Answer: $40\%$. Multiplying rac{2}{5} by 100 converts it to this percentage.

Flashcard 22: What is the percent form of the decimal $0.08$?

Answer: $8\%$. Multiplying 0.08 by 100 expresses the decimal as this percentage.

Flashcard 23: What is the percent form of rac{3}{4}?

Answer: $75\%$. Multiplying rac{3}{4} by 100 results in this percentage.

Flashcard 24: What is the percent decrease from $80$ to $68$?

Answer: $15\%$. The percent decrease formula is rac{80-68}{80} imes 100%, resulting in this value.

Flashcard 25: What is the decimal form of rac{1}{2}?

Answer: $0.5$. Dividing 1 by 2 results in this terminating decimal.