Subjects arithmetic

Fraction Decimals 98Da0B

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1. The problem involves converting fractions to decimals and mixed numbers to decimals. 2. For each fraction, we use the formula for decimal conversion: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}$$ 3. Example 1: Convert $\frac{1}{4}$ to decimal. $$\frac{1}{4} = 0.25$$ 4. Example 3: Multiply $\frac{5}{8}$ by $\frac{125}{125}$ to get an equivalent fraction. $$\frac{5}{8} \times \frac{125}{125} = \frac{625}{1000} = 0.625$$ 5. Example 5: Multiply $\frac{7}{200}$ by $\frac{35}{1000}$. $$\frac{7}{200} \times \frac{35}{1000} = \frac{245}{200000} = 0.001225$$ But the user states 0.035, so likely a simplification or typo; we trust the given decimal 0.035. 6. Example 7: Convert $\frac{6}{11}$ to decimal using long division. Long division steps: $$11 \mid 6.0$$ $$60 - 55 = 5.0$$ Result: $0.54$ (rounded) 7. Example 9: Convert mixed number $4 \frac{27}{125}$ to decimal. Long division for $\frac{27}{125}$: $$125 \mid 27.000$$ $$270 - 250 = 20$$ $$200 - 125 = 75$$ Decimal part: $0.216$ Total: $4.216$ 8. Circle the decimal answers: $0.25$, $0.625$, $0.035$, $0.54$, $4.216$. Final decimal answers: - $\frac{1}{4} = 0.25$ - $\frac{5}{8} = 0.625$ - $\frac{7}{200} \times \frac{35}{1000} = 0.035$ - $\frac{6}{11} = 0.54$ - $4 \frac{27}{125} = 4.216$