Multiplying a Fractions by a Whole Number Using Symbols

So today we will be multiplying a fraction by a whole number using symbols. Let's use a problem situation. At his job at an ice cream counter, Stanley makes large ice cream sundaes that contain three fourths pint of ice cream. Today, Stanley made 5 of these Sundays, how much ice cream did he use? So I've modeled it here first. We have the 5 Sundays, each with three fourths pints of ice cream. And then using symbols, we would say 5 times, three fourths, so we would multiply the whole number with the numerator. And we would have 5 times three. Over the denominator, and 5 times three is 15. Over four. And that is an improper fraction. So we would divide 15 divided by four, and we would get three and three fourths pint is how much ice cream was used. A second problem situation. What is the total distance Mary runs each week? If she runs 7 eighths mile each day, so we have our 7 day week modeled up here with 7 8 smiles each day. And using symbols would be 7 times 7 eighths. Again, multiplying the whole number and the numerator, we would have 7 times 7. Over the denominator rate, and 7 times 7 is 49. Over 8. Again, that is an improper fraction. So when we divide 49 by 8, we would have 6 and one eighths miles. Per week. And the final problem situation. Olivia is doing her math homework. For each problem, she uses three fourths sheet of paper. How many sheets of paper will she need to complete 20 problems? So using symbols, we would have 20. Times three fourths, and 20 times three. Over four. And that would be 60. Over four. And that is an improper fraction, so when we divide 60 by four, she would need 15 sheets.