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5 Chapter Chapter 2 Ratio, Proportion, and Measurement
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Section 5.1 Ratios
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Write Ratios as Fractions.
Objective A Write Ratios as Fractions.
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Writing Ratios as Fractions
A ratio is a quotient of two quantities. 1 to 2 or or 1 : 2 Writing a Ratio as a Fraction The order of the quantities is important when writing ratios. To write a ratio as a fraction, write the first number of the ratio as the numerator of the fraction and the second number as the denominator. Objective A
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Example Write the ratio 15 to 23 using fractional notation.
Objective A Continued
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Example Write the ratio of $25 to $15 as a fraction in simplest form.
Objective A Continued
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Example Write the ratio of 10.3 to 15.1 using fractional notation.
Objective A Continued
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Example Write the ratio of 2.6 to 3.1 as a fraction in simplest form.
Objective A Continued
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Example Write the ratio of 2 2/3 to 1 13/15 as a fraction in simplest form. Objective A Continued
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Example Given the rectangle shown:
a. Find the ratio of its width to its length. b. Find the ratio of its length to its perimeter. a. b. Perimeter = = 24 feet 7 feet 5 feet Objective A Continued
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Write Rates as Fractions.
Objective B Write Rates as Fractions.
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Writing Rates as Fractions
A special type of ratio is a rate. A rate is used to compare different kinds of quantities. Objective A
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Example Write the rate as a fraction in simplest form.
10 nails every 6 feet Objective A Continued
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Example Write each rate as a fraction in simplest form.
1. $2160 for 12 weeks miles on 16 gallons of gasoline Objective A Continued
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Objective C Find Unit Rates.
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Finding Unit Rates A unit rate is a rate with a denominator of 1.
55 miles per hour is an example of a unit rate. Write a Rate as a Unit Rate To write a rate as a unit rate, divide the numerator of the rate by the denominator. Objective A Continued
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Example Write as a unit rate: $31,500 every 7 months The unit rate is
Objective A Continued
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Objective D Find Unit Prices.
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Finding Unit Prices A unit rate is “money per item,” it is also called a unit price. Objective A Continued
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Example A store charges $4.80 for a 32-ounce container of laundry soap. What is the unit price in dollars per ounce? Objective A Continued
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Example Approximate each unit price to decide which is the better buy: 4 bars of soap for $0.99 or 5 bars of soap for $1.19. Objective A Continued Thus the 5-bar package is the better buy.
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