Determine if 5/8and 15/24
are equivalent ratios.(1 point)
Responses
Yes, they are equivalent.
No, they are not equivalent.
What is 3/5 ÷ 2/3
? Always answer in lowest terms (simplify).(1 point)
Responses
910
9 tenths
615
Yes, they are equivalent.
To determine if two ratios are equivalent, we can simplify each ratio to its simplest form and then compare them.
The ratio 5/8 can be simplified by dividing both the numerator and the denominator by the greatest common divisor (GCD) of 5 and 8, which is 1. So, after simplifying, the ratio becomes 5/8.
The ratio 15/24 can be simplified by dividing both the numerator and the denominator by their GCD, which is 3. So, after simplifying, the ratio becomes 5/8.
Since both ratios simplify to 5/8, they are equivalent.
To determine if two ratios are equivalent, we can cross multiply the fractions and check if the products are equal.
For 5/8 and 15/24:
Cross multiplying 5/8 and 15/24:
(5 x 24) = (8 x 15)
120 = 120
Since the products are equal, 5/8 and 15/24 are equivalent ratios.
Yes, they are equivalent.
To determine if the fractions 5/8 and 15/24 are equivalent ratios, we need to compare them.
Step 1: Simplify both fractions to their simplest form.
To simplify 5/8, we can divide both the numerator and denominator by their greatest common divisor, which is 1. So, 5/8 remains 5/8.
To simplify 15/24, we can divide both the numerator and denominator by their greatest common divisor, which is 3. So, 15/24 simplifies to 5/8.
Step 2: Compare the simplified fractions.
Since both fractions simplify to 5/8, they are indeed equivalent ratios.
Therefore, the response is: Yes, 5/8 and 15/24 are equivalent ratios.
Sam is training for a cross country event. It takes her 56 minutes to run 8 miles. What is the unit rate of minutes per mile?(1 point)
Responses
7 minutes/mile
7 minutes/mile
17
minutes/mile
1 seventh minutes/mile
10 minutes/mile
The unit rate of minutes per mile can be found by dividing the total minutes by the total miles.
In this case, Sam takes 56 minutes to run 8 miles.
So, the unit rate is: 56 minutes / 8 miles = 7 minutes/mile.
Therefore, the correct response is: 7 minutes/mile.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
In this case, we have (3/5) ÷ (2/3).
To find the reciprocal of a fraction, we swap the numerator and denominator. So the reciprocal of 2/3 is 3/2.
Now, we can rewrite the division as multiplication: (3/5) * (3/2).
Multiplying the numerators, we get: 3 * 3 = 9.
Multiplying the denominators, we get: 5 * 2 = 10.
So, the result is: 9/10.
Therefore, the correct response is: 9 tenths.
What is 3/5 ÷ 2/3
? Always answer in lowest terms (simplify).(1 point)
Responses
9/10
9 tenths
6/15
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
In this case, we have (3/5) ÷ (2/3).
To find the reciprocal of a fraction, we swap the numerator and denominator. So the reciprocal of 2/3 is 3/2.
Now we can rewrite the division as multiplication: (3/5) * (3/2).
Multiplying the numerators, we get: 3 * 3 = 9.
Multiplying the denominators, we get: 5 * 2 = 10.
Therefore, the result is 9/10.
So, the correct response is: 9/10.
Ryan is painting a large butterfly mural on a wall. It takes him 2 hours to paint 1/5
of the wall. How long will it take him to complete the mural?(1 point)
Responses
2/5
of an hour
2 fifths of an hour
5 hours
5 hours
10 hours