Subjects algebra

Fraction Decimal Percent 7Ec5A9

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1. **State the problem:** We are given fractions and their decimal and percent equivalents in a table, with some blanks to fill. 2. **Given values:** - Fraction: $\frac{3}{8}$, Decimal: 0.375, Percent: 37% (approximate) - Fraction: $\frac{7}{10}$, Decimal: 0.35, Percent: 35% - Percent: 84% (no fraction or decimal given) 3. **Find the missing values:** - For $\frac{7}{10}$, the decimal given is 0.35, but $\frac{7}{10} = 0.7$, so the decimal 0.35 is incorrect for $\frac{7}{10}$. We need to correct this. - For 84%, find the fraction and decimal equivalents. 4. **Convert $\frac{3}{8}$ to decimal and percent:** $$\frac{3}{8} = 0.375$$ $$0.375 \times 100 = 37.5\%$$ Rounded to 37% as given. 5. **Convert $\frac{7}{10}$ to decimal and percent:** $$\frac{7}{10} = 0.7$$ $$0.7 \times 100 = 70\%$$ So the decimal should be 0.7 and percent 70%, not 0.35 and 35%. 6. **Convert 84% to decimal and fraction:** $$84\% = \frac{84}{100} = 0.84$$ Simplify fraction: $$\frac{84}{100} = \frac{\cancel{4}21}{\cancel{4}25} = \frac{21}{25}$$ 7. **Final answers:** - $\frac{7}{10}$ decimal = 0.7, percent = 70% - 84% decimal = 0.84, fraction = $\frac{21}{25}$ Thus the completed table is: | FRACTION | DECIMAL | PERCENT | |---|---|---| | $\frac{3}{8}$ | 0.375 | 37% | | $\frac{7}{10}$ | 0.7 | 70% | | $\frac{21}{25}$ | 0.84 | 84% |