Order the following fractions and decimals in descending order.
3 1/4, 3.27, 3.3, 3 2/10
3.3, 3.27, 3 2/10, 3 1/4
A florist has 36 roses, 27, tulips, and 28 carnations she must create bouquets. Each bouquets must have an equal number of each flower as the other bouquets. What is the largest number of bouquets she can make without having any flowers left over?
To find the largest number of bouquets without having any flowers left over, we need to find the greatest common divisor (GCD) of 36, 27, and 28.
The prime factorization of 36 is 2^2 * 3^2, thus its factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The prime factorization of 27 is 3^3, thus its factors are 1, 3, 9, and 27.
The prime factorization of 28 is 2^2 * 7, thus its factors are 1, 2, 4, 7, 14, and 28.
The common factors among these numbers are 1 and 9. Therefore, the largest number of bouquets she can make without having any flowers left over is 9.
To order these fractions and decimals in descending order, we need to convert all of them into decimals for easier comparison.
1. Convert 3 1/4 to a decimal:
3 1/4 = 3 + 1/4 = 3.25
2. Keep 3.27 as it is.
3. Convert 3.3 to a decimal:
3.3 = 3 + 3/10 = 3.3
4. Convert 3 2/10 to a decimal:
3 2/10 = 3 + 2/10 = 3.2
Now, the list in descending order is:
3.27, 3.3, 3.25, 3.2
To order fractions and decimals in descending order, we need to convert all the numbers into the same form. Since the given numbers include a mix of fractions and decimals, we will convert the fractions into decimals.
Let's start by converting the mixed numbers into improper fractions:
3 1/4 = (3 * 4 + 1) / 4 = 13/4
3 2/10 = (3 * 10 + 2) / 10 = 32/10 = 16/5
Now our numbers are 13/4, 3.27, 3.3, and 16/5.
Next, let's convert the fractions into decimals:
13/4 = 13 ÷ 4 = 3.25
16/5 = 16 ÷ 5 = 3.2
So now our numbers are 3.25, 3.27, 3.3, and 3.2.
Now, we can arrange these numbers in descending order:
3.3 > 3.27 > 3.25 > 3.2
Therefore, in descending order, the numbers are:
3.3, 3.27, 3.25, 3.2