Ratios and Proportions

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Presentation transcript:

Ratios and Proportions Intro to Algebra

RATIO A comparison of two like quantities written in the form of a fraction a/b or a:b (a to b)

Ratios The baseball game is 2/3 over. Your team is ahead 10 to 3. The proper fraction 2/3 and the score 10 to 3 are examples of ratios.

Think of some more real life ratios

Ratios about our Class

Ratios In a class of 20 students, 11 are female and 9 are male. Write the following rations to describe the class. Ratio of male to female students Ratio of female to male students Ratio of female students to the total Ratio of male students to the total Ratio of total number of students to females Ratio of total number of students to males

Ratios In a collection of 25 CDs, 17 are country music and 8 are classical music. Write the ratio of classical to country music in 3 different ways.

GCF To express a ratio in simplest form, begin by writing the ratio as a fraction. Next, find the GCF of the numerator and the denominator. Divide both the numerator and denominator by the GCF.

Ratios Express the ratios in simplest form: 15: 9 20 : 8

PROPORTION A proportion is a statement made up of two equal ratios; a statement of the form

RULE FOR PROPORTIONS In any proportion whenever a/b = c/d is true, then a·d = b·c is true. (cross multiply)

Example Is 2/3 = 8/12 a true proportion?

Solve for x 3:x = 6:20