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Question
- how do you write a fraction with a denominator of 20 as a decimal?
Step1: Convert denominator to 100
To convert a fraction with denominator 20 to decimal, first adjust the fraction so the denominator is 100 (a power of 10). Multiply numerator and denominator by 5:
$$\frac{n}{20} = \frac{n \times 5}{20 \times 5} = \frac{5n}{100}$$
Step2: Convert to decimal
A fraction with denominator 100 is equivalent to moving the decimal point of the numerator two places to the left:
$$\frac{5n}{100} = 0.05n$$
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Take the numerator, multiply it by 5, then move the decimal point two places to the left. For example, $\frac{3}{20} = 0.15$, $\frac{7}{20}=0.35$. In general, for a fraction $\frac{n}{20}$, its decimal form is $0.05n$.