QUESTION IMAGE
Question
fraction, decimal, and percent conversions
convert each rational number to the missing form. simplify all fractions.
fraction decimal percent
$\frac{100}{100}=1$ 1.0 100%
$\frac{1}{5}$ 0.2 20%
75%
25%
$\frac{1}{3}$
0.$overline{6}$
$\frac{1}{8}$
0.4
60%
0.375
50%
$\frac{4}{5}$ $\frac{5}{8}$
0.875
1%
10%
Step1: Convert percentage to fraction and decimal
To convert a percentage to a decimal, divide by 100. To convert a percentage to a fraction, put the number over 100 and simplify.
- For 75%: Decimal is $75\div100 = 0.75$, fraction is $\frac{75}{100}=\frac{3}{4}$.
- For 25%: Decimal is $25\div100=0.25$, fraction is $\frac{25}{100}=\frac{1}{4}$.
Step2: Convert fraction to decimal and percentage
To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a percentage, multiply by 100.
- For $\frac{1}{3}$: Decimal is $1\div3 = 0.\overline{3}$, percentage is $0.\overline{3}\times100\approx33.3\%$.
- For $\frac{1}{8}$: Decimal is $1\div8 = 0.125$, percentage is $0.125\times 100 = 12.5\%$.
- For $0.4$: Fraction is $\frac{4}{10}=\frac{2}{5}$, percentage is $0.4\times100 = 40\%$.
- For 60%: Decimal is $60\div100 = 0.6$, fraction is $\frac{60}{100}=\frac{3}{5}$.
- For $0.375$: Fraction is $\frac{375}{1000}=\frac{3}{8}$, percentage is $0.375\times100 = 37.5\%$.
- For 50%: Decimal is $50\div100 = 0.5$, fraction is $\frac{50}{100}=\frac{1}{2}$.
- For $\frac{4}{5}$: Decimal is $4\div5 = 0.8$, percentage is $0.8\times100 = 80\%$.
- For $\frac{5}{8}$: Decimal is $5\div8 = 0.625$, percentage is $0.625\times100 = 62.5\%$.
- For $0.875$: Fraction is $\frac{875}{1000}=\frac{7}{8}$, percentage is $0.875\times100 = 87.5\%$.
- For 1%: Decimal is $1\div100 = 0.01$, fraction is $\frac{1}{100}$.
- For 10%: Decimal is $10\div100 = 0.1$, fraction is $\frac{10}{100}=\frac{1}{10}$.
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| Fraction | Decimal | Percent |
|---|---|---|
| $\frac{1}{5}$ | 0.2 | 20% |
| $\frac{3}{4}$ | 0.75 | 75% |
| $\frac{1}{4}$ | 0.25 | 25% |
| $\frac{1}{3}$ | $0.\overline{3}$ | 33.3% |
| $\frac{5}{3}$ | 0.6 | 60% |
| $\frac{1}{8}$ | 0.125 | 12.5% |
| $\frac{2}{5}$ | 0.4 | 40% |
| $\frac{3}{5}$ | 0.6 | 60% |
| $\frac{3}{8}$ | 0.375 | 37.5% |
| $\frac{1}{2}$ | 0.5 | 50% |
| $\frac{4}{5}$ | 0.8 | 80% |
| $\frac{5}{8}$ | 0.625 | 62.5% |
| $\frac{7}{8}$ | 0.875 | 87.5% |
| $\frac{1}{100}$ | 0.01 | 1% |
| $\frac{1}{10}$ | 0.1 | 10% |