Write the following decimals as fractions and find the Quotients.

4.5 divided by 0.9=
0.6 divided by 0.12=
1.2 divided by 0.5=
22.5 divided by 0.5=
0.18 divided by 0.03=

4.5 divided by 0.9= 4 (5/10) / (9/10 = 5

0.6 divided by 0.12= (6/10) / 12/100 = 5

I'll be glad to check your answers for the rest of the problems.

what is a model that shows 180 divided by 9

To write the given decimals as fractions, we need to remember that the decimal value is the numerator and the place value of the last digit is the denominator.

1. 4.5 can be written as 45/10.
2. 0.9 can be written as 9/10.

Now, let's find the quotient for 4.5 divided by 0.9:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

4.5/0.9 = (45/10) / (9/10)

To find the reciprocal of 9/10, we flip it, resulting in 10/9:

(45/10) / (9/10) = (45/10) * (10/9)

Cancel out the common factor of 10:

(45/10) * (10/9) = 45/9

Simplify the fraction:

45/9 = 5

The quotient of 4.5 divided by 0.9 is 5.

Let's continue with the remaining problems:

1. 0.6 can be written as 6/10.
2. 0.12 can be written as 12/100.

Now, let's find the quotient for 0.6 divided by 0.12:

0.6/0.12 = (6/10) / (12/100)

To find the reciprocal of 12/100, we flip it, resulting in 100/12:

(6/10) / (12/100) = (6/10) * (100/12)

Cancel out the common factor of 10:

(6/10) * (100/12) = (6/1) * (100/12)

Simplify the fraction:

(6/1) * (100/12) = 600/12

Simplify the fraction further:

600/12 = 50

The quotient of 0.6 divided by 0.12 is 50.

1.2 can be written as 12/10.
0.5 can be written as 5/10.

Now, let's find the quotient for 1.2 divided by 0.5:

1.2/0.5 = (12/10) / (5/10)

To find the reciprocal of 5/10, we flip it, resulting in 10/5:

(12/10) / (5/10) = (12/10) * (10/5)

Cancel out the common factor of 10:

(12/10) * (10/5) = (12/1) * (10/5)

Simplify the fraction:

(12/1) * (10/5) = 120/5

Simplify the fraction further:

120/5 = 24

The quotient of 1.2 divided by 0.5 is 24.

22.5 can be written as 225/10.
0.5 can be written as 5/10.

Now, let's find the quotient for 22.5 divided by 0.5:

22.5/0.5 = (225/10) / (5/10)

To find the reciprocal of 5/10, we flip it, resulting in 10/5:

(225/10) / (5/10) = (225/10) * (10/5)

Cancel out the common factor of 10:

(225/10) * (10/5) = (225/1) * (10/5)

Simplify the fraction:

(225/1) * (10/5) = 2250/5

Simplify the fraction further:

2250/5 = 450

The quotient of 22.5 divided by 0.5 is 450.

0.18 can be written as 18/100.
0.03 can be written as 3/100.

Now, let's find the quotient for 0.18 divided by 0.03:

0.18/0.03 = (18/100) / (3/100)

To find the reciprocal of 3/100, we flip it, resulting in 100/3:

(18/100) / (3/100) = (18/100) * (100/3)

Cancel out the common factor of 100:

(18/100) * (100/3) = (18/1) * (1/3)

Simplify the fraction:

(18/1) * (1/3) = 18/3

Simplify the fraction further:

18/3 = 6

The quotient of 0.18 divided by 0.03 is 6.

To write a decimal as a fraction, you can use the place value of the decimal and convert it into a fraction form. Here's how you can do it:

1. To write 4.5 as a fraction, you can see that it is already in the form of x.x. Since there is one digit after the decimal point, you can express it as 4.5/1.

2. To write 0.9 as a fraction, multiply both the numerator and denominator by 10 to remove the decimal point. This gives you 9/10.

Now, to find the quotient:

To divide one fraction by another, multiply the first fraction by the reciprocal (or the inverted fraction) of the second fraction. This means you take the second fraction and swap the numerator and denominator. Here's how you can find the quotient for each problem:

1. (4.5/1) divided by (0.9/1):
Multiply the first fraction (4.5/1) by the reciprocal of the second fraction (1/0.9):
(4.5/1) * (1/0.9) = (4.5 * 1) / (1 * 0.9) = 4.5 / 0.9 = 5

2. (0.6/1) divided by (0.12/1):
Multiply the first fraction (0.6/1) by the reciprocal of the second fraction (1/0.12):
(0.6/1) * (1/0.12) = (0.6 * 1) / (1 * 0.12) = 0.6 / 0.12 = 5

3. (1.2/1) divided by (0.5/1):
Multiply the first fraction (1.2/1) by the reciprocal of the second fraction (1/0.5):
(1.2/1) * (1/0.5) = (1.2 * 1) / (1 * 0.5) = 1.2 / 0.5 = 2.4

4. (22.5/1) divided by (0.5/1):
Multiply the first fraction (22.5/1) by the reciprocal of the second fraction (1/0.5):
(22.5/1) * (1/0.5) = (22.5 * 1) / (1 * 0.5) = 22.5 / 0.5 = 45

5. (0.18/1) divided by (0.03/1):
Multiply the first fraction (0.18/1) by the reciprocal of the second fraction (1/0.03):
(0.18/1) * (1/0.03) = (0.18 * 1) / (1 * 0.03) = 0.18 / 0.03 = 6

So, the quotients for the given decimal divisions are:
4.5 divided by 0.9 = 5
0.6 divided by 0.12 = 5
1.2 divided by 0.5 = 2.4
22.5 divided by 0.5 = 45
0.18 divided by 0.03 = 6