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Chapter 4: Problem 1

Determine the missing number. $$\frac{2}{3}=\frac{?}{12}$$

Short Answer

Expert verified
}{12}$? Answer: The missing number is 8.

Step by step solution

01

Set up the proportion

Set up the proportion with the two given fractions: $$\frac{2}{3} = \frac{?}{12}$$
02

Cross-multiply

Cross-multiply the fractions to find the missing number. That means, multiply the numerator of the first fraction by the denominator of the second one and vice versa: $$2 \times 12 = 3 \times ?$$
03

Simplify the cross-multiply result

Next, simplify both sides of the equation: $$24 = 3?$$
04

Solve for the missing number

Now, to find the missing number, divide both sides of the equation by 3: $$\frac{24}{3} = \frac{3?}{3}$$ $$8 = ?$$
05

State the answer

The missing number is 8: $$\frac{2}{3} = \frac{8}{12}$$

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Most popular questions from this chapter

Perform the indicated operation. Write all results in lowest terms. $$\frac{1}{14}-\frac{1}{2}$$
Perform the indicated operation. Write all results in lowest terms. $$-\frac{1}{6}+\frac{1}{10}$$
Solve the following equations. a. \(\frac{6}{7} x=\frac{1}{2}\) b. \(\frac{3}{11} x=-\frac{3}{13}\) c. \(-\frac{5}{6} t=-\frac{10}{21}\) d. \(-\frac{4}{5} y=\frac{24}{35}\)
Perform the indicated operation. Write all results in lowest terms. $$-\frac{3}{16}-\frac{3}{16}$$
Perform the indicated operation. Write all results in lowest terms. $$\frac{3}{8}+\frac{3}{8}$$
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