Question

1. evaluate the expression below. simplify your answer.

\\(\frac{6}{9} div \frac{1}{2}\\)
your answer

1. evaluate the expression below. simplify your answer.

\\(\frac{2}{7} \times 4\\)
your answer

Explanation:

Question 6

Step1: Recall division of fractions rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{6}{9} \div \frac{1}{2}=\frac{6}{9} \times \frac{2}{1}\)

Step2: Simplify and multiply

Simplify \(\frac{6}{9}\) to \(\frac{2}{3}\) (dividing numerator and denominator by 3). Then multiply: \(\frac{2}{3} \times \frac{2}{1}=\frac{4}{3}\)

Step1: Recall fraction multiplication rule

To multiply a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same. So, \(\frac{2}{7} \times 4=\frac{2\times4}{7}\)

Step2: Calculate the numerator

\(2\times4 = 8\), so the result is \(\frac{8}{7}\)

Answer:

\(\frac{4}{3}\)

Question 7