Q: How many quarts are in a gallon?

The correct answer is: $4\text{ quarts}$ Explanation A single gallon contains four quarts. This is true in both the US customary and the British Imperial systems (the number of quarts per gallon is the same, though the actual volumes of a US gallon and an Imperial gallon differ). Steps: Definition: $$1\text{ gallon}=4\text{ quarts}$$ System clarification: $$1\text{ US gallon}=4\text{ US quarts}\quad\text{and}\quad1\text{ Imperial gallon}=4\text{ Imperial quarts}$$ Final: $$\therefore\ 1\text{ gallon}=4\text{ quarts}$$ Therefore, 1 gallon contains 4 quarts.

Q: What is 125% as a fraction?

The correct answer is: $\frac{5}{4}$ Explanation Percent means "per hundred", so convert 125% to a fraction by writing it over 100 and simplifying. Steps: First step: $$\frac{125}{100}$$ Second step (simplify by dividing numerator and denominator by 25): $$\frac{125\div25}{100\div25}=\frac{5}{4}$$ Final step (mixed number form): $$1\frac{1}{4}$$ Therefore, 125% = $\frac{5}{4}$ (which is also $1\frac{1}{4}$).

Q: Express 0.4375 as a fraction in the simplest form.

The correct answer is: $\frac{7}{16}$ Explanation We convert the decimal to a fraction and simplify. Steps: First write 0.4375 as a fraction with denominator 10000: $$0.4375=\frac{4375}{10000}$$ Divide numerator and denominator by their common factor 125: $$\frac{4375}{10000}=\frac{4375\div125}{10000\div125}=\frac{35}{80}$$ Reduce further by dividing both by 5: $$\frac{35}{80}=\frac{35\div5}{80\div5}=\frac{7}{16}$$ Therefore, 0.4375 in simplest fractional form is $\frac{7}{16}$.

Q: Write 3/4 divided by 2 in the fraction.

The correct answer is: $\frac{3}{8}$ Explanation You divide by 2 by multiplying by its reciprocal (which is $\frac{1}{2}$). Then multiply numerators and denominators and simplify if possible. Steps: Write division as multiplication by the reciprocal: $$\frac{3}{4}\div2=\frac{3}{4}\times\frac{1}{2}$$ Multiply numerators and denominators: $$\frac{3\times1}{4\times2}=\frac{3}{8}$$ The fraction is already in simplest form: $$\frac{3}{8}$$ Therefore, $\frac{3}{4}$ divided by $2$ equals $\frac{3}{8}$.

Q: What is 0.875 as a fraction?

The correct answer is: $\frac{7}{8}$ Explanation We convert the decimal to a fraction by writing it over a power of 10 and then simplifying. Steps: Write the decimal as a fraction: $0.875=\frac{875}{1000}$ Divide numerator and denominator by their greatest common divisor $125$: $$\frac{875}{1000}=\frac{875\div125}{1000\div125}=\frac{7}{8}$$ Final simplified fraction: $\frac{7}{8}$ Therefore, $0.875=\frac{7}{8}$.

Q: What is 7/16 as a decimal?

The correct answer is: $0.4375$ Explanation We convert the fraction $\frac{7}{16}$ to a decimal by making the denominator a power of 10. Steps: Multiply numerator and denominator by 625 to get denominator $10000$: $$\frac{7}{16}=\frac{7\times625}{16\times625}=\frac{4375}{10000}$$ Write the fraction with denominator $10000$ as a decimal: $$\frac{4375}{10000}=0.4375$$ (Check) Long division $7\div16=0.4375$ gives the same result. Therefore, $\frac{7}{16}=0.4375$.

Question

How many quarts are in a gallon?

Accepted Answer

The correct answer is: $4	ext{ quarts}$

Explanation

A single gallon contains four quarts. This is true in both the US customary and the British Imperial systems (the number of quarts per gallon is the same, though the actual volumes of a US gallon and an Imperial gallon differ).

Steps:

Definition: $$1	ext{ gallon}=4	ext{ quarts}$$
System clarification: $$1	ext{ US gallon}=4	ext{ US quarts}\quad	ext{and}\quad1	ext{ Imperial gallon}=4	ext{ Imperial quarts}$$
Final: $$	herefore\ 1	ext{ gallon}=4	ext{ quarts}$$

Therefore, 1 gallon contains 4 quarts.