Fractions, Decimals, and Percents - SSAT Middle Level: Quantitative

$0.5$. Dividing 1 by 2 results in 0.5, as it represents half of a whole.

$40%$. Multiplying $\frac{2}{5}$ by $100%$ gives 40%, as two fifths of 100 is 40.

$0.125$. Dividing 1 by 8 gives 0.125, equivalent to one eighth.

$80%$. Multiplying $\frac{4}{5}$ by $100%$ results in 80%, as four fifths of 100 is 80.

$75%$. Multiplying $\frac{3}{4}$ by $100%$ equals 75%, as three quarters of 100 is 75.

$0.4$. Dividing 2 by 5 results in 0.4, equivalent to two fifths.

$25%$. Multiplying $\frac{1}{4}$ by $100%$ results in 25%, as it is one quarter of 100.

$12.5%$. Multiplying $\frac{1}{8}$ by $100%$ yields 12.5%, since one eighth of 100 is 12.5.

$0.75$. Dividing 3 by 4 produces 0.75, representing three quarters.

$0.2$. Dividing 1 by 5 gives 0.2, which is one fifth in decimal form.

$20%$. Multiplying $\frac{1}{5}$ by $100%$ yields 20%, since one fifth of 100 is 20.

$7%$. Multiplying 0.07 by 100 moves the decimal two places right to obtain 7%.

$0.25$. Dividing 1 by 4 yields 0.25, equivalent to one quarter.

Write over $10^n$, then simplify: $0.abcd=\frac{abcd}{10^n}$. Placing the decimal digits over a power of 10 creates a fraction, which is then reduced to simplest terms.

Multiply by $100$: $d=100d%$. Multiplying the decimal by 100 shifts the decimal point two places right to express it as a percent.

Divide by $100$: $p%=\frac{p}{100}$. Dividing the percent by 100 converts it from parts per hundred to a decimal form.

Multiply by $100%$: $\frac{a}{b}=\frac{a}{b}\times 100%$. Multiplying the fraction by $100%$ scales it to represent parts per hundred, yielding the percentage equivalent.

$\frac{3}{5}$. Converting 0.6 to a fraction gives $\frac{6}{10}$, which simplifies to $\frac{3}{5}$ by dividing numerator and denominator by 2.

$\frac{1}{8}$. Converting 0.125 to a fraction yields $\frac{125}{1000}$, which simplifies to $\frac{1}{8}$ by dividing by 125.

$0.35$. Dividing 35 by 100 shifts the decimal two places left to get 0.35.

$\frac{9}{20}$. Expressing 45% as $\frac{45}{100}$ simplifies to $\frac{9}{20}$ by dividing numerator and denominator by 5.

$0.8$. Dividing 4 by 5 yields 0.8, which is four fifths in decimal form.

$60%$. Multiplying $\frac{3}{5}$ by $100%$ equals 60%, since three fifths of 100 is 60.

$0.6$. Dividing 3 by 5 produces 0.6, representing three fifths.