This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To convert metric units of volume involving fractions, you essentially follow the same conversion steps but apply fraction arithmetic (multiplication or division) with the conversion factor. Here's a general approach: 1. Identify the conversion factor: Determine how many of the target units are in one of the starting units (e.g., 1 L = 1000 mL). 2. Set up the conversion: If converting from a larger unit to a smaller unit (e.g., Liters to milliliters), you will multiply by the conversion factor. If converting from a smaller unit to a larger unit (e.g., milliliters to Liters), you will divide by the conversion factor (or multiply by its reciprocal). 3. Perform fraction arithmetic: Convert mixed numbers to improper fractions before multiplying or dividing. Multiply fractions: Multiply the numerators and multiply the denominators. Divide fractions: Multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction if possible. Example: Convert (3)/(4) Liters to milliliters. 1. Conversion factor: 1 Liter = 1000 milliliters. 2. Set up: We are going from a larger unit (Liters) to a smaller unit (milliliters), so we multiply. (3)/(4) L × 1000 mLL 3. Perform fraction arithmetic: (3)/(4) × (1000)/(1) = (3 × 1000)/(4 × 1) = (3000)/(4) 4. Simplify: (3000)/(4) = 750 So, (3)/(4) Liters is equal to 750 milliliters.