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Proportions

Proportions. Converting Customary Units Using Proportions. Customary Measures - Capacity. 1 cup (c) = 8 fluid ounces (fl. oz ) 1 pint ( pt ) = 2 cups (c) 1 quart ( qt ) = 2 pints ( pt ) 1 gallon (gal) = 4 quarts ( qt ) Fl. Oz. – Cups – Pints – Quarts – Gallons .

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Proportions

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  1. Proportions Converting Customary Units Using Proportions

  2. Customary Measures - Capacity 1 cup (c) = 8 fluid ounces (fl. oz) 1 pint (pt) = 2 cups (c) 1 quart (qt) = 2 pints (pt) 1 gallon (gal) = 4 quarts (qt) Fl. Oz. – Cups – Pints – Quarts – Gallons

  3. Helpful hints to convert with proportions • Same labels go on the same line • 1st fraction contains the conversion key • 2nd fraction contains information from the problem From key From problem 1 pint = xpints 2 cups 15 cups

  4. Guided Practice Conversion Key: 1 quart (qt) = 2 pints (pt) 1. If I have six pints of soda, how many quarts do I have? From key From problem Proportion: = Cross products: 2(x) = 6(1) 1 qt. 2 pt. X qt. 6 pt

  5. Check • CHECK FOR REASONABLENESS Small to large unit = smaller answer

  6. Guided Practice Conversion Key: 1 quart = 2 pints 1 gallon = 4 quarts 2. I have 8 gallons of water. How many pints do I have? Step 1: gallons to quarts Step 2: quarts to pints 1 gal = 4 qt. 8 gal X qt. 1 qt = 2 pt. 32 qt X pt. 4(8) = 1(x) 2(32) = 1(x)

  7. Check • CHECK FOR REASONABLENESS Large to a small unit = large answer

  8. Try on your own • A small box has a capacity of 24 fluid ounces. How many cups does it hold? Conversion Chart: 1 cup = 8 fl. oz. • I need 2 quarts of milk to make rice pudding. If I have 0.75 gallons of milk, do I have enough to make the recipe? Use math to support your answer. Conversion Chart: 1 gallon = 4 quarts

  9. Independent Practice • 1st fraction: conversion chart • 2nd fraction: info in problem • Calculate cross products and solve for variable • Check for reasonableness

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