ISEE Middle Level Quantitative Reasoning Flashcards: Fractions Decimals And Percents

What this deck covers

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

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 $3.5\%$ as a decimal?

Answer: $0.035$. Dividing $3.5$ by $100$ moves the decimal two places left to get $0.035$.

Flashcard 2: What is $\frac{9}{20}$ as a percent?

Answer: $45\%$. Multiplying $\frac{9}{20}$ by $100$ gives $45$ after division.

Flashcard 3: What is $45\%$ as a decimal?

Answer: $0.45$. Dividing $45$ by $100$ moves the decimal two places left to get $0.45$.

Flashcard 4: What is $\frac{1}{4}$ as a decimal?

Answer: $0.25$. Dividing $1$ by $4$ yields $0.25$ as the decimal form.

Flashcard 5: What is $\frac{1}{2}$ as a decimal?

Answer: $0.5$. Dividing $1$ by $2$ yields $0.5$ as the decimal form.

Flashcard 6: What is the rule for converting a fraction $\frac{a}{b}$ to a percent?

Answer: Compute $\frac{a}{b}\times 100\%$. Multiplying the decimal equivalent of the fraction by $100$ gives the percentage value.

Flashcard 7: What is $37.5\%$ as a fraction in simplest form?

Answer: $\frac{3}{8}$. Converting $37.5\%$ to $\frac{37.5}{100}$ equals $\frac{375}{1000}$, simplified by dividing by $125$ to get $\frac{3}{8}$.

Flashcard 8: What is the rule for converting a fraction $\frac{a}{b}$ to a decimal?

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

Flashcard 9: What is $\frac{3}{4}$ as a decimal?

Answer: $0.75$. Dividing $3$ by $4$ yields $0.75$ as the decimal form.

Flashcard 10: What is $\frac{11}{25}$ as a percent?

Answer: $44\%$. Multiplying $\frac{11}{25}$ by $100$ gives $44$ after division.

Flashcard 11: What is $0.03$ as a fraction in simplest form?

Answer: $\frac{3}{100}$. Expressing $0.03$ as $\frac{3}{100}$, which is already in simplest form since $3$ and $100$ share no common factors other than $1$.

Flashcard 12: What is $0.75$ as a percent?

Answer: $75\%$. Multiplying $0.75$ by $100$ shifts the decimal two places right to get $75$.

Flashcard 13: What is the rule for converting a percent $p\%$ to a fraction in simplest form?

Answer: Write $\frac{p}{100}$, then simplify. Expressing the percent as a fraction over $100$ and reducing it provides the simplest fractional form.

Flashcard 14: What is $\frac{2}{3}$ as a percent, rounded to the nearest whole percent?

Answer: $67\%$. Dividing $2$ by $3$ gives approximately $0.6667$, multiplied by $100$ is about $66.67$, which rounds to $67$.

Flashcard 15: What is $\frac{7}{10}$ as a percent?

Answer: $70\%$. Multiplying $\frac{7}{10}$ by $100$ gives $70$ after division.

Flashcard 16: What is $0.6$ as a fraction in simplest form?

Answer: $\frac{3}{5}$. Expressing $0.6$ as $\frac{6}{10}$ and simplifying by dividing numerator and denominator by $2$ yields $\frac{3}{5}$.

Flashcard 17: What is $0.125$ as a fraction in simplest form?

Answer: $\frac{1}{8}$. Expressing $0.125$ as $\frac{125}{1000}$ and simplifying by dividing numerator and denominator by $125$ yields $\frac{1}{8}$.

Flashcard 18: What is $\frac{1}{5}$ as a decimal?

Answer: $0.2$. Dividing $1$ by $5$ yields $0.2$ as the decimal form.

Flashcard 19: What is $\frac{1}{8}$ as a decimal?

Answer: $0.125$. Dividing $1$ by $8$ yields $0.125$ as the decimal form.

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

Answer: Multiply by $100$ and add $\%$: $d\to 100d\%$. Multiplying the decimal by $100$ shifts the decimal point two places to the right to express it as a percentage of $100$.

Flashcard 21: What is the rule for converting a percent $p\%$ to a decimal?

Answer: Divide by $100$: $p\%\to \frac{p}{100}$. Dividing the percent by $100$ moves the decimal point two places to the left to convert it to its decimal equivalent.

Flashcard 22: What is $125\%$ as a decimal?

Answer: $1.25$. Dividing $125$ by $100$ moves the decimal two places left to get $1.25$.

Flashcard 23: What is $\frac{3}{5}$ as a percent?

Answer: $60\%$. Multiplying $\frac{3}{5}$ by $100$ gives $60$ after division.

Flashcard 24: What is $0.08$ as a percent?

Answer: $8\%$. Multiplying $0.08$ by $100$ shifts the decimal two places right to get $8$.

Flashcard 25: What is $1.2$ as a percent?

Answer: $120\%$. Multiplying $1.2$ by $100$ shifts the decimal two places right to get $120$.