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:
- $\frac{1}{4} = 0.25$
- $\frac{5}{8} = 0.625$
- $\frac{7}{200} \times \frac{35}{1000} = 0.035$
- $\frac{6}{11} = 0.54$
- $4 \frac{27}{125} = 4.216$
Fraction Decimals 98Da0B
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