7.Write the ratio of 4 1/3 to 6 in simplest form. 13/3 TO 6/1

8.On the blueprint of Lauren's new office building, the scale is 9 in. equals 8 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint? Give your answer in inches. 64 IN
9.A state sales tax rate is 4.8%. If the tax on a purchase was $23.76, what was the price of the purchase?=$495
10. Write 3/8 as a percent.37.5%

#7 your first ratio of 13/3 TO 6/1 is not in simplest form

13/3 TO 6/1
= 13/3 : 18/3
= 13 : 18

the rest are correct

To find the ratio of 4 1/3 to 6 in simplest form, we need to convert both numbers to fractions with the same denominator.

First, we convert 4 1/3 to an improper fraction. To do this, we multiply the whole number (4) by the denominator (3) and add the result to the numerator (1). This gives us (4 * 3 + 1) / 3 = 13/3.

Next, we convert 6 to a fraction by putting it over 1. So, 6/1.

Now, we can write the ratio as 13/3 : 6/1.

To simplify the ratio, we can find the greatest common divisor (GCD) of the two fractions and divide both the numerator and denominator of each fraction by the GCD.

The GCD of 13 and 3 is 1, so we can divide both 13 and 3 by 1. This gives us 13/1 and 3/1.

The simplified ratio is 13/1 : 3/1, which can be written as 13 : 3.

Therefore, the ratio of 4 1/3 to 6 in simplest form is 13 : 3.

For the blueprint question, the given scale is 9 in. equals 8 ft. This means that for every 9 inches on the blueprint, the actual length is 8 feet.

To find the actual length of Lauren's office, we can set up a proportion using the given scale.

Let x be the actual length of Lauren's office in feet.

We can set up the proportion as follows: 9 in. / 8 ft. = 6 in. / x ft.

To solve for x, we cross-multiply and then divide.

9 in. * x ft. = 8 ft. * 6 in.

9x = 48

Dividing both sides of the equation by 9, we get:

x = 48 / 9

Simplifying the fraction, we have:

x = 16/3 ft.

As the question asks for the answer in inches, we can convert the fraction to inches by multiplying the numerator by 12 (since there are 12 inches in a foot).

16/3 ft. * 12 in./ft. = 64 in.

Therefore, the actual length of Lauren's office is 64 inches.

For the sales tax question, we are given that the state sales tax rate is 4.8% and the tax on a purchase is $23.76. We need to find the price of the purchase before tax.

To find the price, we can set up the equation:

tax rate (%) = tax amount / price

We can rewrite the equation as:

price = tax amount / (tax rate / 100)

Plugging in the values, we have:

price = $23.76 / (4.8 / 100)

price = $23.76 / 0.048

price = $495

Therefore, the price of the purchase before tax was $495.

For the last question, we need to convert the fraction 3/8 to a percent.

To convert a fraction to a percent, we can multiply the fraction by 100.

3/8 * 100 = 37.5

Therefore, 3/8 is equal to 37.5%.