Select the TWO fractions that are equivalent to
.
A
1020\frac{10}{20}
20
10
B
525\frac{5}{25}
25
5
C
105\frac{10}{5}
5
10
D
25125\frac{25}{125}
125
25
The correct answer is A and C.
To find equivalent fractions, we need to simplify the given fraction .
Option A is equivalent to because both the numerator and denominator can be divided by 10.
Option C is equivalent to because both the numerator and denominator can be divided by 5.
Option B is not equivalent because cannot be simplified further.
Option D is not equivalent because cannot be simplified further.
Solve the proportion for y:
15
2
=
75
�
2
15
=
y
75
y = correct?
30
Yes, that is correct.
To solve the proportion, we can cross-multiply:
15 * y = 75 * 2
15y = 150
Dividing both sides of the equation by 15, we get:
y = 10
So the value of y that solves the proportion is 10.
so is it 10 or 30
I apologize for my previous response. It appears that I made an error in my explanation.
Let's solve the proportion correctly:
To solve for y in the proportion , we can cross-multiply:
15 * y = 2 * 75
15y = 150
Dividing both sides of the equation by 15:
y = 10
Therefore, the correct value of y that solves the proportion is 10. I apologize for any confusion caused by my previous response.
If
11
11 boxes of chocolates contain
220
220 chocolates in total, calculate how many chocolates will be in
5
5 boxes.
100
chocolates.
To find out how many chocolates will be in 5 boxes, we can set up a proportion:
11 boxes of chocolates contain 220 chocolates in total, so the ratio is 220 chocolates / 11 boxes.
Let x represent the number of chocolates in 5 boxes.
Setting up the proportion:
220 chocolates / 11 boxes = x chocolates / 5 boxes
Cross-multiplying:
11 * x = 220 * 5
11x = 1100
Dividing both sides by 11:
x = 100
Therefore, there will be 100 chocolates in 5 boxes.
Using that 3 feet = 1 yard, calculate the conversion below. It may help to set up a proportion.
16 yards =
feet
To convert 16 yards to feet using the given conversion factor, we can set up a proportion:
1 yard is equal to 3 feet.
Let x represent the number of feet in 16 yards.
Setting up the proportion:
1 yard / 3 feet = 16 yards / x feet
Cross-multiplying:
1 * x = 3 * 16
x = 48
Therefore, 16 yards is equal to 48 feet.
Use the conversion ratio 1 liter equals 1,000 milliliters to complete the problem. It may help to set up a proportion.
A cylinder holds 6,750 milliliters. How many liters does it hold?
1 liter = 1,000 milliliters
A
67.5
B
6,750,000
C
7,750
D
6.75