Fractions, Decimals, and Percents - ISEE Middle Level: Quantitative Reasoning

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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 $100$.