Solving by Clearing & Solving Algebraic Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What does it mean to clear fractions in an equation?

Back

Clearing fractions means multiplying every term in the equation by the least common denominator to eliminate the fractions.

Front

Solve the proportion: 3/4 = x/12.

Back

x = 9.

Front

What is the first step in solving the equation ⅛x + ¼ = ⅝?

Back

The first step is to clear the fractions by multiplying every term by 8.

Front

What is the solution to the equation ⅛x + ¼ = ⅝ after clearing fractions?

Back

x = 3.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

ad = bc.

Front

What is the least common denominator (LCD) of ⅛, ¼, and ⅝?

Back

The LCD is 8.

Front

Solve the proportion: 5/x = 15/9.

Back

x = 3.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division.