\( \begin{array}{lll}\text { a) } \frac{3}{7} x \frac{1}{9}= & \text { b) } \frac{4}{5} x 3= & \text { c) } \frac{1}{3} \div 2=\end{array} \)

Calculate the value by following steps: - step0: Calculate: \(\frac{\frac{1}{3}}{2}\) - step1: Multiply by the reciprocal: \(\frac{1}{3}\times \frac{1}{2}\) - step2: Multiply the fractions: \(\frac{1}{3\times 2}\) - step3: Multiply: \(\frac{1}{6}\) Calculate or simplify the expression \( (4/5)*3 \). Calculate the value by following steps: - step0: Calculate: \(\frac{4}{5}\times 3\) - step1: Multiply: \(\frac{4\times 3}{5}\) - step2: Multiply: \(\frac{12}{5}\) Calculate or simplify the expression \( (3/7)*(1/9) \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{7}\times \frac{1}{9}\) - step1: Reduce the numbers: \(\frac{1}{7}\times \frac{1}{3}\) - step2: Multiply the fractions: \(\frac{1}{7\times 3}\) - step3: Multiply: \(\frac{1}{21}\) Let's solve each part step by step: ### a) \( \frac{3}{7} \times \frac{1}{9} \) To multiply two fractions, you multiply the numerators together and the denominators together: \[ \frac{3}{7} \times \frac{1}{9} = \frac{3 \times 1}{7 \times 9} = \frac{3}{63} = \frac{1}{21} \] In decimal form, this is approximately \( 0.047619 \). ### b) \( \frac{4}{5} \times 3 \) To multiply a fraction by a whole number, you can multiply the numerator by the whole number: \[ \frac{4}{5} \times 3 = \frac{4 \times 3}{5} = \frac{12}{5} \] This can also be expressed as a mixed number: \[ \frac{12}{5} = 2 \frac{2}{5} \] In decimal form, this is \( 2.4 \). ### c) \( \frac{1}{3} \div 2 \) Dividing by a number is the same as multiplying by its reciprocal: \[ \frac{1}{3} \div 2 = \frac{1}{3} \times \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6} \] In decimal form, this is approximately \( 0.1667 \). ### Summary of Results: - a) \( \frac{1}{21} \) or \( 0.047619 \) - b) \( \frac{12}{5} \) or \( 2.4 \) - c) \( \frac{1}{6} \) or \( 0.1667 \)