Mastering Proportions in Problem Solving

What is the definition of a proportion?

• A statement of inequality of two fractions

• A statement of equality of two fractions

• A statement of equality of two ratios

• A statement of inequality of two ratios

Which of the following is an example of a proportion?

• 2/36 < 10/n

• 2/36 = 10/n

• 2/36 > 10/n

• 2/36 ≠ 10/n

What is the first step in solving a proportion using equivalent fractions?

• Cross-multiply the ratios

• Divide both sides by the same number

• Find a common denominator

• Write equivalent fractions

If you multiply the numerator of 2/36 by 5, what should you multiply the denominator by to keep the fractions equivalent?

• 36

• 5

• 10

• 2

What is the value of n in the proportion 2/36 = 10/n using equivalent fractions?

• 72

• 180

• 360

• 36

What is the trick method introduced for solving proportions?

• Using a calculator

• Finding common denominators

• Cross-multiplication

• Adding the ratios

In cross-multiplication, what do you multiply together?

• The numerators of both ratios

• The denominators of both ratios

• The numerator of one ratio with the denominator of the other

• The denominators of one ratio with the numerator of the other

What is the result of cross-multiplying 2 and n in the proportion 2/36 = 10/n?

• 10n

• 72n

• 36n

• 2n

What is the result of cross-multiplying 10 and 36 in the proportion 2/36 = 10/n?

• 36

• 360

• 720

• 180

What is the final value of n in the proportion 2/36 = 10/n using cross-multiplication?

• 36

• 360

• 72

• 180