Hello! I can help you with this! It asks for a ratio, so we have to solve it in that format. Although, there are different ways of solving it.
1. Okay. So a ratio for this would be 3/4 : 5/6. To divide fractions, we must keep the first fraction the same, change the division into a multiplication symbol, and flip the second fraction over. So it would look like this: 3/4 * 6/5. Multiply straight across (n*n/ d*d). When you do that, you get 18/20 or 9/10 in simplest form. The landscaper's rater is 9/10 acres per hour.
2. The ratio for this question is 9/4 : 1/2 For the next question, we repeat the steps for dividing fractions. Keep, Change, Flip. 9/4 * 2/1 is 18/4 or 4 1/2 in simplest form. Sally's running speed is 4 1/2 miles per hour.
3. Okay. Going back to question #1, the unit rate was 9/10 acres per hour. All we have to do now is multiply that number by 4. To multiply fractions, do it straight across. 9/10 * 4/1 is 36/10 or 3 3/5 in simplest form. A landscaper can mow 3 3/5 acres in 4 hours.
4. Then we repeat the steps done in question #3, and incorporate it in this problem. Going back to question #2, the unit rate was 4 1/2 miles per hour. All we have to do is multiply by 3. 9/2 * 3/1 is 27/2 or 13 1/2 in simplest form. Sally can run 13 1/2 miles in 3 hours.