I need to find the ratio of the longest side to the length of the shortest side, then write each fraction in lowest terms. Both questions have more than 3 measurements:
1) 25 km to 24.5 km to 5 km
2) 6 3/4 ft. to 5 3/4 ft. to 3 1/4 ft. to 1 3/4 ft to 1 1/2 ft.
To find the ratio of the longest side to the length of the shortest side, we need to identify the longest and shortest sides in each question.
1) For the first question, we have three measurements: 25 km, 24.5 km, and 5 km. The longest side is 25 km, and the shortest side is 5 km.
To find the ratio, we divide the longest side by the shortest side:
Ratio = 25 km / 5 km = 5
To write this fraction in lowest terms, we simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5 in this case:
Ratio = (25 km / 5 km) / (5 / 5)
= 5 km / 1 km
= 5
Therefore, the ratio of the longest side to the length of the shortest side in the first question is 5.
2) For the second question, we have five measurements: 6 3/4 ft., 5 3/4 ft., 3 1/4 ft., 1 3/4 ft., and 1 1/2 ft. The longest side is 6 3/4 ft., and the shortest side is 1 1/2 ft.
To find the ratio, we divide the longest side by the shortest side:
Ratio = (6 3/4 ft.) / (1 1/2 ft.)
To simplify this fraction, we need to convert the mixed numbers to improper fractions:
Ratio = (27/4 ft.) / (3/2 ft.)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Ratio = (27/4 ft.) * (2/3 ft.)
= (54/12 ft.)
To write this fraction in lowest terms, we simplify it by dividing both the numerator and denominator by their GCD, which is 6 in this case:
Ratio = (54/12 ft.) / (6/6)
= (9/2 ft.) / 1
= 9/2 ft.
Therefore, the ratio of the longest side to the length of the shortest side in the second question is 9/2 or 4.5.
To find the ratio of the longest side to the length of the shortest side, you need to determine which measurement is the longest and which is the shortest.
Let's start with the first question:
1) The measurements are 25 km, 24.5 km, and 5 km.
To find the longest side, compare the three measurements: 25 km, 24.5 km, and 5 km. The longest side is 25 km.
To find the shortest side, repeat the same process. The shortest side is 5 km.
Now that we know the longest side is 25 km and the shortest side is 5 km, we can calculate the ratio in its lowest terms.
Ratio = Longest side / Shortest side
Ratio = 25 km / 5 km
Simplifying the ratio:
Ratio = 5
So, the ratio of the longest side to the length of the shortest side is 5.
Now, let's move on to the second question:
2) The measurements are 6 3/4 ft., 5 3/4 ft., 3 1/4 ft., 1 3/4 ft., and 1 1/2 ft.
To find the longest side, compare the measurements: 6 3/4 ft., 5 3/4 ft., 3 1/4 ft., 1 3/4 ft., and 1 1/2 ft. The longest side is 6 3/4 ft.
To find the shortest side, repeat the same process. The shortest side is 1 1/2 ft.
Now that we know the longest side is 6 3/4 ft and the shortest side is 1 1/2 ft, we can calculate the ratio in its lowest terms.
Ratio = Longest side / Shortest side
Ratio = 6 3/4 ft. / 1 1/2 ft.
To divide fractions, we invert the second fraction and multiply:
Ratio = (6 3/4) / (1 1/2)
Ratio = (27/4) / (3/2)
Ratio = (27/4) * (2/3)
Ratio = 54 / 12
To simplify the ratio, we find the greatest common divisor (GCD) of 54 and 12:
GCD(54, 12) = 6
Dividing both numerator and denominator by 6, we get:
Ratio = 9 / 2
So, the ratio of the longest side to the length of the shortest side is 9/2 or 4 1/2 in mixed number form.