Show all the steps that you use to solve this problem (38 is a fraction)
53
is
38
53
in simplest form? Explain why or why not. If not, write it in simplest form.
2.Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
3.Marietta is selling cheeses for the holiday fundraiser. On Monday, she sold
7
9
of the boxes of cheeses. On Tuesday she restocked her supply and sold 0.85 of the boxes of cheeses. On which day did Marietta sell more boxes? Explain.
So I can help you better, what are your answers? (Btw im a connexus student too :)
1. To simplify the fraction 38/53, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is the largest number that evenly divides both numbers. In this case, the GCD of 38 and 53 is 1 because there are no common factors other than 1. Therefore, the fraction 38/53 is already in its simplest form.
2. To find the next date that Patsy has to choose between cheerleading and play practice, we need to find the least common multiple (LCM) of 4 and 6, which is the smallest number that is divisible by both numbers.
First, list the multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Next, list the multiples of 6: 6, 12, 18, 24, 30, 36, ...
From the lists, we can see that the least common multiple of 4 and 6 is 12. Therefore, the next date that Patsy has to choose between cheerleading and play practice would be on September 17th.
3. To determine which day Marietta sold more boxes of cheeses, we need to compare the amounts of boxes sold on Monday and Tuesday.
On Monday, Marietta sold 7/9 of the boxes of cheeses.
On Tuesday, she sold 0.85 of the boxes of cheeses.
To compare these fractions, we need to convert 0.85 into a fraction with the same denominator as 9. Since 0.85 is equivalent to 85/100, we can simplify it further by dividing both the numerator and denominator by 5: 17/20.
Now, we can compare 7/9 and 17/20. To do this, we can find a common denominator, which is the least common multiple of 9 and 20, which is 180.
Multiplying 7/9 by 20/20 gives us 140/180.
Multiplying 17/20 by 9/9 gives us 153/180.
From these calculations, we can see that 153/180 (Tuesday) is greater than 140/180 (Monday). Therefore, Marietta sold more boxes of cheeses on Tuesday.
1. To simplify the fraction 38/53, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 38 and 53 is 1, because they are relatively prime. Since the GCD is 1, the fraction 38/53 is already in simplest form.
2. To find the next date that Patsy has to choose between cheerleading and play practice, we need to find the least common multiple (LCM) of 4 and 6, which represents the number of days that need to pass for both schedules to align again. The LCM of 4 and 6 is 12.
Starting from September 5th, we count 12 days to find the next date. So, the next date Patsy has to choose between cheerleading and play practice would be September 17th.
3. To determine on which day Marietta sold more boxes, we need to compare the quantities she sold on Monday and Tuesday. On Monday, she sold 7/9 of the boxes, which is approximately 0.7778. On Tuesday, she sold 0.85 of the boxes.
Comparing the two values, we can see that 0.85 is greater than 0.7778. Therefore, Marietta sold more boxes on Tuesday.
Learn how to post fractions, e.g., 3/8 is a fraction.
I will start you out.
2. The 17th is the next date, but I'll let you explain why.