Questions: Rewrite these expressions using words. a. 3 divided by 4 times (2 and 2 fifths minus 5 sixths)

Solution Steps

Convert \(2 \frac{2}{5}\) to an improper fraction: \[ 2 \frac{2}{5} = \frac{12}{5} \]

Subtract \(\frac{5}{6}\) from \(\frac{12}{5}\): \[ \frac{12}{5} - \frac{5}{6} = \frac{72}{30} - \frac{25}{30} = \frac{47}{30} \]

Multiply \(\frac{3}{4}\) by \(\frac{47}{30}\): \[ \frac{3}{4} \times \frac{47}{30} = \frac{141}{120} \]

Final Answer