Question

part e
now, find the value of
\\(\frac{\frac{3}{16} \cdot \frac{2}{3}}{\frac{1}{4}}\\)
finding this value consists of simply multiplying twice and then dividing once, tasks that are no more difficult than what youve done before. finally, reduce the fraction to its lowest terms.
enter the numerator followed by the denominator, separated by a comma.
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(input box and submit button, with incorrect; try again; 2 attempts remaining message below)

Explanation:

Step1: Rewrite complex fraction

$$\frac{\frac{3}{10} \times \frac{2}{3}}{\frac{7}{4} \times \frac{3}{2}}$$

Step2: Multiply numerators first

$$\frac{3 \times 2}{10 \times 3} = \frac{6}{30} = \frac{1}{5}$$

Step3: Multiply denominators next

$$\frac{7 \times 3}{4 \times 2} = \frac{21}{8}$$

Step4: Divide the two results

$$\frac{1}{5} \div \frac{21}{8} = \frac{1}{5} \times \frac{8}{21}$$

Step5: Simplify the product

$$\frac{1 \times 8}{5 \times 21} = \frac{8}{105}$$

Answer:

8, 105