Subjects algebra

Fractions To Decimals 409Cc2

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to express each fraction as a decimal. 2. The formula to convert a fraction to a decimal is to divide the numerator by the denominator: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}$$ 3. Let's convert each fraction step-by-step: (a) $$\frac{7}{2} = 7 \div 2$$ Perform the division: $$7 \div 2 = 3.5$$ (b) $$\frac{27}{5} = 27 \div 5$$ Perform the division: $$27 \div 5 = 5.4$$ (c) $$\frac{3}{4} = 3 \div 4$$ Perform the division: $$3 \div 4 = 0.75$$ (d) $$\frac{3}{12} = 3 \div 12$$ Simplify the fraction first: $$\frac{3}{12} = \frac{\cancel{3}^1}{\cancel{12}^4} = \frac{1}{4}$$ Now divide: $$1 \div 4 = 0.25$$ (e) $$\frac{15}{25} = 15 \div 25$$ Simplify the fraction first: $$\frac{15}{25} = \frac{\cancel{15}^3}{\cancel{25}^5} = \frac{3}{5}$$ Now divide: $$3 \div 5 = 0.6$$ (f) $$\frac{22}{20} = 22 \div 20$$ Simplify the fraction first: $$\frac{22}{20} = \frac{\cancel{22}^{11}}{\cancel{20}^{10}} = \frac{11}{10}$$ Now divide: $$11 \div 10 = 1.1$$ Final answers: (a) 3.5 (b) 5.4 (c) 0.75 (d) 0.25 (e) 0.6 (f) 1.1