Question

1. solve 28.14 ÷ 0.2
2. how many quarts are in 8 gallons?
3. solve $4\frac{1}{2} \times 2\frac{1}{3}$

Explanation:

Step1: Eliminate decimal in divisor

Multiply dividend and divisor by 10:
$28.14 \div 0.2 = (28.14 \times 10) \div (0.2 \times 10) = 281.4 \div 2$

Step2: Perform division

Calculate the quotient:
$281.4 \div 2 = 140.7$

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Step1: Recall unit conversion factor

1 gallon = 4 quarts

Step2: Calculate total quarts

Multiply gallons by conversion factor:
$8 \times 4 = 32$

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Step1: Convert mixed numbers to fractions

$4\frac{1}{2} = \frac{9}{2}$, $2\frac{1}{3} = \frac{7}{3}$

Step2: Multiply the fractions

Multiply numerators and denominators:
$\frac{9}{2} \times \frac{7}{3} = \frac{9 \times 7}{2 \times 3} = \frac{63}{6}$

Step3: Simplify the fraction

Reduce to lowest terms and convert to mixed number:
$\frac{63}{6} = \frac{21}{2} = 10\frac{1}{2}$

Answer:

1. $140.7$
2. $32$ quarts
3. $10\frac{1}{2}$ (or $\frac{21}{2}$)