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Information about 5.5 Customary Units Fraction Da

Chapter 5, Section 5: Customary Units, Fractions and Dimensional Analysis.

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Warm Up Hints Convert the Days into Hours. Use the Formula: D = RT D = Distance R = Rate (what you’re looking for) T = Time (Days Hours) Rate should be in miles per hour (mph)

Convert the Days into Hours.

Use the Formula: D = RT

D = Distance

R = Rate (what you’re looking for)

T = Time (Days Hours)

Rate should be in miles per hour (mph)

3,759 miles divided by 48.25 hours = 77.9 or 80 miles per hour. Warm Up

Review of Customary Units, Fractions, and Dimensional Analysis. By Ms. Dewey-Hoffman November 12 th , 2008 Chapter 5, Section 5 (if you must know)

Example of Conversion Factors To find a COMMON DENOMINATOR between Two Fractions , you MULTIPLY one or both fractions by a Conversion Factor . A Conversion Factor is always equal to 1 .

To find a COMMON DENOMINATOR

between Two Fractions ,

you MULTIPLY one or both

fractions by a Conversion Factor .

H – 4 = 7 5 9 Example of Conversion Factors 1) Add 4/5 to both sides to cancel out –4/5 and get H by itself. H – 4 + 4 = 7 + 4 5 5 9 5 2) Multiply both 7/9 and 4/5 by a conversion factor. H = 7 ( 5 ) + 4 ( 9 ) 9 (5) 5 (9) 3) 5/5 and 9/9 are Conversion Factors.

H – 4 = 7

5 9

This is the Same with Conversion Factors in Converting Units! Use Equivalent Units To Write A Conversion Factor. Like: 12 inches = 1 foot. They Are Equivalent! Also: 4 quarts = 1 gallon. They Are Equivalent! Also: 24 hours = 1 day. They Are Equivalent!

Use Equivalent Units To Write A Conversion Factor.

Turn The Conversions Into Fractions…They’re Equivalent Just Write These Equivalents to Make a Fraction that is Equal to 1. 12 inches = 1 1 foot 2 cups = 1 8 Fluid Ounces

Just Write These Equivalents to Make a Fraction that is Equal to 1.

Dimensional Analysis The process of analyzing units to decide which conversion factors to use. When you are looking at the Legend on your handout, that’s Dimensional Analysis!

The process of analyzing units to decide which conversion factors to use.

This is a Fraction Bar These Bars mean Multipl-ication and separate fractions or Conversion Factors. 10 quarts = ? gallons 10 Quarts ? Gallons Conversion Factor Goes Here 4 Quarts 1 Gallon Now turn it into a Fraction/Multiplication Problem 10 ¼ = 2 ½ gallons 10 quarts = 2 ½ gallons

This is a Fraction Bar These Bars mean Multipl-ication and separate fractions or Conversion Factors. Dealing with Mixed Numbers and Conversions? 3 3/16 yards = ? inches 1) Change Mixed Number to an Improper Fraction, then Convert. 51 Yards 1 Yard 3 Feet 1 Foot 12 Inches 16 2) Take the answer and Change to a Mixed Number. Notice how the IMPROPER Fraction looks like a Fraction on the T graph. (51 3 12) (16 1 1) = 114.75 or 114 ¾

To Compare Different Units… Change ONE Unit into the other and see which is bigger, less, or equal. Inequalities Anyone? 10 Gallons ____ 42 Quarts 42 Quarts is how many gallons? 4 Quarts for every 1 Gallon. (42/4 = 10 ½ Gallons) Which is bigger? 42 Quarts or 10 Gallons? <

Change ONE Unit into the other and see which is bigger, less, or equal.

Inequalities Anyone?

42 Quarts is how many gallons?

4 Quarts for every 1 Gallon. (42/4 = 10 ½ Gallons)

Which is bigger? 42 Quarts or 10 Gallons?

Assignment #36 Finish The Handout From Friday. Work Should be Shown on Another Sheet of Paper, WHERE THE PROBLEMS ARE NUMBERED, and Stapled to the Back of the Handout.

Finish The Handout From Friday.

Work Should be Shown on Another Sheet of Paper, WHERE THE PROBLEMS ARE NUMBERED, and Stapled to the Back of the Handout.

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