# Converting a decimal to a proper fraction in simplest form: Advanced Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Converting a decimal to a proper fraction in simplest form: Advanced. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - Convert the decimal 0.265 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 265 as the top of a fraction.

Step 2:

The place value of the last digit 5, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.265 = \frac{265}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 265 and 1000 which is 5

$\frac{(265 \div 5)}{(1000 \div 5)} = \frac{53}{200}$

Step 4:

So, $0.265 = \frac{53}{200}$

Q 2 - Convert the decimal 0.272 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 272 as the top of a fraction.

Step 2:

The place value of the last digit 2, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.272 = \frac{272}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 272 and 1000 which is 8

$\frac{272 \div 8}{1000 \div 8} = \frac{34}{125}$

Step 4:

So, $0.272 = \frac{34}{125}$

Q 3 - Convert the decimal 0.288 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 288 as the top of a fraction.

Step 2:

The place value of the last digit 8, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.288 = \frac{288}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 288 and 1000 which is 8

$\frac{(288 \div 8)}{1000 \div 8} = \frac{36}{125}$

Step 4:

So, $0.288 = \frac{36}{125}$

Q 4 - Convert the decimal 0.316 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 316 as the top of a fraction.

Step 2:

The place value of the last digit 6, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.316 = \frac{316}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 316 and 1000 which is 4

$\frac{316 \div 4}{1000 \div 4} = \frac{79}{250}$

Step 4:

So, $0.316 = \frac{79}{250}$

Q 5 - Convert the decimal 0.354 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 354 as the top of a fraction.

Step 2:

The place value of the last digit 4, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.354 = \frac{354}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 354 and 1000 which is 2

$\frac{354 \div 2}{1000 \div 2} = \frac{177}{500}$

Step 4:

So, $0.354 = \frac{177}{500}$

Q 6 - Convert the decimal 0.384 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 384 as the top of a fraction.

Step 2:

The place value of the last digit 4, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.384 = \frac{384}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 384 and 1000 which is 8

$\frac{384 \div 8}{1000 \div 8} = \frac{48}{125}$

Step 4:

So, $0.384 = \frac{48}{125}$

Q 7 - Convert the decimal 0.428 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 428 as the top of a fraction.

Step 2:

The place value of the last digit 8, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.428 = \frac{428}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 428 and 1000 which is 4

$\frac{428 \div 4}{1000 \div 4} = \frac{107}{250}$

Step 4:

So, $0.428 = \frac{107}{250}$

Q 8 - Convert the decimal 0.472 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 472 as the top of a fraction.

Step 2:

The place value of the last digit 2, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.472 = \frac{472}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 472 and 1000 which is 8

$\frac{472 \div 8}{1000 \div 8} = \frac{59}{125}$

Step 4:

So, $0.472 = \frac{59}{125}$

Q 9 - Convert the decimal 0.576 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 576 as the top of a fraction.

Step 2:

The place value of the last digit 6, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.576 = \frac{576}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 576 and 1000 which is 8

$\frac{576 \div 8}{1000 \div 8} = \frac{72}{125}$

Step 4:

So, $0.576 = \frac{72}{125}$

Q 10 - Convert the decimal 0.726 to a proper fraction in simplest form.

### Explanation

Step 1:

We drop the decimal and write the number 726 as the top of a fraction.

Step 2:

The place value of the last digit 6, is a thousandth. So, we take 1000 as the bottom of the fraction to get $0.726 = \frac{726}{1000}$

Step 3:

To reduce the fraction to the simplest form, we divide the top and bottom of the fraction with the highest common factor of 726 and 1000 which is 2

$\frac{726 \div 2}{1000 \div 2} = \frac{363}{500}$

Step 4:

So, $0.726 = \frac{363}{500}$ 