Which ratio is equivalent to 9/78?
answers:
1/3
3/18
1/8
3/26
The answer is 3/26.
To find an equivalent ratio to 9/78, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 9 and 78 is 3.
Dividing 9 by 3 gives us 3 and dividing 78 by 3 gives us 26.
Therefore, the ratio equivalent to 9/78 is 3/26.
So the correct answer is 3/26.
To find the ratio equivalent to 9/78, we need to simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of 9 and 78 is 3. Dividing 9 by 3 gives us 3, and dividing 78 by 3 gives us 26.
Therefore, the equivalent ratio is 3/26.
Lars purchases a new SUV. The car has a 15 - gallon gas tank. If he can drive 330 miles on a full tank of gas, what is the unit rate of miles per gallon he gets?
To find the unit rate of miles per gallon, we need to divide the total number of miles driven (330) by the number of gallons of gas used (15).
The unit rate is:
330 miles / 15 gallons = 22 miles/gallon
Therefore, Lars gets a unit rate of 22 miles per gallon.
are you sure??
Apologies for the confusion. Let's calculate the correct unit rate.
To find the unit rate of miles per gallon, we need to divide the total number of miles driven (330) by the number of gallons of gas used.
The unit rate is:
330 miles / 15 gallons = 22 miles per gallon
Therefore, Lars gets a unit rate of 22 miles per gallon.
What is 7/8 divided by 3/4?
To divide the fractions 7/8 divided by 3/4, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/4 is 4/3.
So we have:
(7/8) / (3/4) = (7/8) * (4/3)
To simplify, we multiply the numerators and denominators:
(7 * 4) / (8 * 3) = 28/24
We can further simplify by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
28/24 = (28/4) / (24/4) = 7/6
Therefore, 7/8 divided by 3/4 is equal to 7/6.
Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hour, how long will it take her to complete the entire picture?
To determine how long it will take Charla to complete the entire picture, we need to find the equivalent fraction that represents the remaining 1/3 of the area.
If Charla has completed 2/3 of the area in 1/2 hour, that means she has 1/3 of the area left to complete.
Since she completed 2/3 of the area in 1/2 hour, we can set up a proportion:
2/3 area completed / 1/2 hour = 1/3 area remaining / x hours
Cross-multiplying, we have:
(2/3) * x = (1/3) * (1/2)
Simplifying, we get:
2x/3 = 1/6
To solve for x (the time it will take Charla to complete the remaining area), we can multiply both sides by the reciprocal of 2/3, which is 3/2:
x = (1/6) * (3/2)
x = 1/4
Therefore, it will take Charla 1/4 hour (or 15 minutes) to complete the remaining 1/3 of the area.
you sure?
Apologies for the confusion. Let's recalculate the correct answer.
If Charla completes 2/3 of the area in 1/2 hour, then the remaining 1/3 of the area will take the same amount of time to complete as the first 2/3.
So, the time it will take Charla to complete the entire picture is 1/2 hour.
Therefore, it will take Charla 1/2 hour to complete the entire picture.