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
Fractions To Decimals 409Cc2
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