1. **Write the statements as equations:** 1.2.1 A number totals 5 times B and C. Let the number be $N$. The statement means $N$ equals 5 times the sum of $B$ and $C$. Equation: $$N = 5(B + C)$$ 1.2.2 Cost per person is the total cost divided by the number of persons. Let cost per person be $C_p$, total cost be $T$, and number of persons be $n$. Equation: $$C_p = \frac{T}{n}$$ 1.2.3 12 less than 4G leaves 33. "12 less than 4G" means $4G - 12$. This equals 33. Equation: $$4G - 12 = 33$$ 2. **Convert decimals to reduced fractions:** 1.3.1 Convert 0.125 to a fraction. Step 1: Write 0.125 as $$\frac{125}{1000}$$. Step 2: Simplify by dividing numerator and denominator by their greatest common divisor (GCD), which is 125. $$\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}$$ Answer: $$0.125 = \frac{1}{8}$$ 1.3.2 Convert 84.75 to a fraction. Step 1: Write 84.75 as $$84 + 0.75 = 84 + \frac{75}{100}$$. Step 2: Simplify $$\frac{75}{100}$$ by dividing numerator and denominator by 25. $$\frac{75 \div 25}{100 \div 25} = \frac{3}{4}$$ Step 3: Combine the whole number and fraction: $$84 + \frac{3}{4} = \frac{84 \times 4}{4} + \frac{3}{4} = \frac{336}{4} + \frac{3}{4} = \frac{339}{4}$$ Answer: $$84.75 = \frac{339}{4}$$