## Why Convert Fractions to Decimals? In the electrical field, you often need to switch between **fractions and decimals** depending on the context. This is common when working with: - Measurement tools (inches vs. millimeters) - Component specifications (resistor values, wire gauges) - Calculator inputs for voltage, current, and resistance - Digital systems that only handle decimals Understanding how to convert fractions to decimals is essential for accurate calculations and clear communication on the job. ## Step-by-Step: How to Convert ### Method 1: Divide the Numerator by the Denominator Example: $\frac{3}{4} = 3 \div 4 = 0.75$ Other common examples: - $\frac{1}{2} = 0.5$ - $\frac{1}{4} = 0.25$ - $\frac{2}{5} = 0.4$ ### Method 2: Use a Fraction-to-Decimal Reference Table For quick access in the field, many electricians memorize or reference common conversions: | Fraction | Decimal | |----------|---------| | 1/2 | 0.5 | | 1/4 | 0.25 | | 3/4 | 0.75 | | 1/8 | 0.125 | | 3/8 | 0.375 | | 5/8 | 0.625 | | 7/8 | 0.875 | ## Real-World Example: Conduit Bending Suppose you need to bend conduit at **3/8 of an inch**, but your tape measure and bender use decimal markings. Convert: $\frac{3}{8} = 3 \div 8 = 0.375$ You would set your mark at 0.375 inches. This ensures your bend is precise and compliant with specifications. ## Try It Yourself 1. Convert $\frac{5}{8}$ to a decimal. 2. Convert $\frac{2}{3}$ to a decimal (round to three decimal places). 3. You need to reduce a voltage by $\frac{1}{5}$. What is this as a decimal multiplier?