Which decimal is between 1/5 and 1/4?

A.0.17
B.0.23< my answer
C.0.26
D.0.32

The drama teacher is making costumes for the
school play. Each costume requires 1 3/4
yards of
material and 2/3
of a yard of ribbon. The material
costs $2.99 per yard and the ribbon costs 59¢ per
yard.
What is the approximate cost of each costume?
A $2.40
B $5.65<my answer
C $9.00
D $10.80

Am I correct? If not can I have a step by step explanation on how to do it?

both are correct

thanks.

To find the decimal between 1/5 and 1/4, we can convert these fractions to decimals and compare them.

1/5 = 0.2
1/4 = 0.25

Now, we need to find a decimal between 0.2 and 0.25.

Looking at the options:
A. 0.17
B. 0.23
C. 0.26
D. 0.32

Among these options, 0.23 is the decimal that falls between 0.2 and 0.25. So, the correct answer is B. 0.23.

Now, let's move on to the second question:

To find the approximate cost of each costume, we need to calculate the cost of material and the cost of ribbon for one costume.

The material required for each costume is 1 3/4 yards, which is equivalent to (4/4 + 3/4) = 7/4 = 1.75 yards.
The cost of material per yard is $2.99, so the cost of material for one costume is 1.75 * $2.99 = $5.2325 (rounded to two decimal places).

The ribbon required for each costume is 2/3 of a yard.
The cost of ribbon per yard is $0.59, so the cost of ribbon for one costume is (2/3) * $0.59 = $0.3926 (rounded to two decimal places).

Now, we add the cost of material and the cost of ribbon to calculate the approximate cost of each costume:
Approximate cost = $5.2325 + $0.3926 = $5.6251 (rounded to two decimal places).

Among the given options:
A. $2.40
B. $5.65
C. $9.00
D. $10.80

The closest option to the approximate cost of each costume is B. $5.65. So, the correct answer is B.