2. Michelle and Nick take part in a sponsored ski. Michelle skis for 1(1)/(4) km and Nick skis for (6)/(7)km How much further does Michelle ski than Nick? 3. Cam and Jules are digging a hole for a pond. Cam digs 1(7)/(9)m^3 of soil and Jules digs 2(2)/(5)m^3 of soil. What volume of soil have they dug in total?

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2. Michelle and Nick take part in a sponsored ski. Michelle skis for 1(1)/(4) km and Nick skis for (6)/(7)km How much further does Michelle ski than Nick? 3. Cam and Jules are digging a hole for a pond. Cam digs 1(7)/(9)m^3 of soil and Jules digs 2(2)/(5)m^3 of soil. What volume of soil have they dug in total?

Answer 1

2. Michelle ski \(\frac{5}{28}\) km farther than Nick. 3. Cam and Jules have dug in total of approximately \(4 \frac{1}{45}\) \( m^3 \)

Answer 2

## Step1: Michelle's ski distance is presented as \(1 \frac{1}{4} \mathrm{~km}\), while Nick's ski distance is presented as \(\frac{6}{7} \mathrm{~km}\). To find out how much further Michelle ski than Nick, subtract Nick's distance from Michelle's. ### Formula : \(Distance = Distance_{Michelle} - Distance_{Nick} \mult ) ## Step2: Before subtracting, we make sure both the fractional parts in both distances are in such a way that the fractional part of the distance of Malachi isn’t larger than the fractional part of distance of Booker. However, \( \frac{1}{4} > \frac{2}{7} \), which precedes subtraction, as the rule 'subtract fractions from fractions and whole numbers from whole numbers' holds. ## Step3: Subtract Nick's ski distance from Michelle's: \( 1 \frac{1}{4} - \frac{2}{3} = (?) \) ## Step4: To figure out the total volume of soil that Cam and Jules have dug dign, adding each of their incomes can yield the answer. ### Formula : \( Volume = Volume_{Cam} + Volume_{Jules} \) ## Step5: Remember to add whole numbers to whole numbers and fractions to fractions. \( 1 \frac{7}{9} + 2 \frac{2}{5} = (?) \)

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