MATH 110 Lecture Notes - Lecture 12: Distributive Property

• School: University of Alabama
• Department: MATH
• Course: MATH 110
• Professor: davidneal

Document Summary

Ratios and proportions are not only used in arithmetic, but are also commonly used in algebra (and geometry). A ratio is a method of comparing two or more numbers or variables. Ratios are written as a:bor in working form, as a fraction. or is read (cid:1688) a is to b(cid:1689) Notice that whatever comes after the (cid:1688)to(cid:1689) goes second or at the bottom of the fraction. Proportions are written as two ratios (fractions) equal to each other. Solve this problem for x. p is to q as x is to y. Solve this proportion for t. s is to t as r is to q. Multiply each side of the equation by the common denominator, tq, and do early reducing. Note that the result is the same as if you had (cid:1688)cross multiplied(cid:1689) through the equal sign. In future examples, this method is referred to as (cid:1688)cross multiply. (cid:1689) Divide each side of the equation by r.