A sheet of address labels is 6 3/4 inches long and 4 1/3 inches wide. The length is divided into sections that are 1 1/8 inches long, and the width is divided into sections that are 1 1/12 inches wide. Solve this multi-step problem involving division with fractions. How many sections are there?(1 point)
Responses
12 sections
12 sections
10 sections
10 sections
20 sections
20 sections
24 sections
To determine who ran faster, we need to compare their speeds.
To find Keshia's speed, divide the distance she ran (10 1/2 miles) by the time taken (1 3/4 hours):
10 1/2 ÷ 1 3/4 = (21/2) ÷ (7/4)
Invert the denominator and multiply:
(21/2) x (4/7) = 84/14 = 6 miles per hour
Therefore, Keshia ran at a speed of 6 miles per hour.
To find Mateo's speed, divide the distance he ran (12 miles) by the time taken (2 2/5 hours):
12 ÷ 2 2/5 = (60/5) ÷ (12/5)
Invert the denominator and multiply:
(60/5) x (5/12) = 60/12 = 5 miles per hour
Therefore, Mateo ran at a speed of 5 miles per hour.
Since Keshia ran at a higher speed of 6 miles per hour compared to Mateo's 5 miles per hour, Keshia ran faster.
The correct response is: Keshia ran faster; she ran 6 miles per hour.
Responses
12 sections
12 sections
10 sections
10 sections
20 sections
20 sections
24 sections
To find the number of sections in the length, divide the total length of the sheet (6 3/4 inches) by the length of each section (1 1/8 inches):
6 3/4 ÷ 1 1/8 = (27/4) ÷ (9/8)
Invert the denominator and multiply:
(27/4) x (8/9) = 216/36 = 6 sections
To find the number of sections in the width, divide the total width of the sheet (4 1/3 inches) by the width of each section (1 1/12 inches):
4 1/3 ÷ 1 1/12 = (13/3) ÷ (13/12)
Invert the denominator and multiply:
(13/3) x (12/13) = 36/3 = 12 sections
Therefore, there are a total of 6 sections in the length and 12 sections in the width of the sheet.
The correct response is 20 sections.
Keshia ran 10 1/2 miles in 1 3/4 hours. Mateo ran 12 miles in 2 2/5 hours. Who ran faster?(1 point)
Responses
Keshia ran faster; she ran 1/6 of a mile per hour.
Keshia ran faster; she ran 6 miles per hour.
Keshia ran faster; she ran 6 miles per hour.
Mateo ran faster; he ran 1/5 of a mile per hour.
Mateo ran faster; he ran 5 miles per hour.