Subjects algebra

Fraction To Decimal 7Fd503

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

1. **Problem:** Convert a fraction into a decimal. 2. **Formula and Explanation:** A fraction \( \frac{a}{b} \) represents division of the numerator \(a\) by the denominator \(b\). To convert it to a decimal, perform the division \(a \div b\). 3. **Step-by-step:** - Example: Convert \( \frac{3}{4} \) to decimal. - Divide 3 by 4: \(3 \div 4 = 0.75\). 4. **Important rules:** - If the division ends evenly, the decimal is terminating. - If the division repeats a pattern, the decimal is repeating. 5. **Intermediate work:** - \(3 \div 4 = 0.75\) because \(4 \times 0.75 = 3\). 6. **Final answer:** \(\frac{3}{4} = 0.75\). This method works for any fraction: divide numerator by denominator to get the decimal.