# Converting a decimal to a mixed number and an improper fraction without simplifying Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Converting a decimal to a mixed number and an improper fraction without simplifying. 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. ### Explanation

Step 1:

The decimal 4.4 is read as 4 and 4 tenths. So, it is written as a mixed number $4\frac{4}{10}$

Step 2:

The mixed number has a whole number part 4 and a fractional part $\frac{4}{10}$

Step 3:

It is converted to an improper fraction as follows. 4 × 10 + 4 = 44. This is the numerator of the improper fraction and 10 is the denominator.

So, $4 \frac{4}{10} = \frac{44}{10}$

### Explanation

Step 1:

The decimal 5.6 is read as 5 and 6 tenths. So, it is written as a mixed number $5\frac{6}{10}$

Step 2:

The mixed number has a whole number part 5 and a fractional part $\frac{6}{10}$

Step 3:

It is converted to an improper fraction as follows. 5 × 10 + 6 = 56. This is the numerator of the improper fraction and 10 is the denominator.

So, $5 \frac{6}{10} = \frac{56}{10}$

### Explanation

Step 1:

The decimal 6.8 is read as 6 and 8 tenths. So, it is written as a mixed number $6\frac{8}{10}$

Step 2:

The mixed number has a whole number part 6 and a fractional part $\frac{8}{10}$

Step 3:

It is converted to an improper fraction as follows. 6 × 10 + 8 = 68. This is the numerator of the improper fraction and 10 is the denominator. So

So, $6 \frac{8}{10} = \frac{68}{10}$

### Explanation

Step 1:

The decimal 7.6 is read as 7 and 6 tenths. So, it is written as a mixed number $7\frac{6}{10}$

Step 2:

The mixed number has a whole number part 7 and a fractional part $\frac{6}{10}$

Step 3:

It is converted to an improper fraction as follows. 7 × 10 + 6 = 76. This is the numerator of the improper fraction and 10 is the denominator. So

So, $7 \frac{6}{10} = \frac{76}{10}$

### Explanation

Step 1:

The decimal 8.4 is read as 8 and 4 tenths. So it is written as a mixed number $8\frac{4}{10}$

Step 2:

The mixed number has a whole number part 8 and a fractional part $\frac{4}{10}$

Step 3:

It is converted to an improper fraction as follows. 8 × 10 + 4 = 84. This is the numerator of the improper fraction and 10 is the denominator.

So, $8 \frac{4}{10} = \frac{84}{10}$

### Explanation

Step 1:

The decimal 9.2 is read as 9 and 2 tenths. So, it is written as a mixed number $9\frac{2}{10}$

Step 2:

The mixed number has a whole number part 9 and a fractional part $\frac{2}{10}$

Step 3:

It is converted to an improper fraction as follows. 9 × 10 + 2 = 92. This is the numerator of the improper fraction and 10 is the denominator.

So, $9 \frac{2}{10} = \frac{92}{10}$

### Explanation

Step 1:

The decimal 10.4 is read as 10 and 4 tenths. So, it is written as a mixed number $10\frac{4}{10}$

Step 2:

The mixed number has a whole number part 10 and a fractional part $\frac{4}{10}$

Step 3:

It is converted to an improper fraction as follows. 10 × 10 + 4 = 104. This is the numerator of the improper fraction and 10 is the denominator.

So, $10 \frac{4}{10} = \frac{104}{10}$

### Explanation

Step 1:

The decimal 11.6 is read as 11 and 6 tenths. So, it is written as a mixed number $11\frac{6}{10}$

Step 2:

The mixed number has a whole number part 11 and a fractional part $\frac{6}{10}$

Step 3:

It is converted to an improper fraction as follows. 11 × 10 + 6 = 116. This is the numerator of the improper fraction and 10 is the denominator.

So, $11 \frac{6}{10} = \frac{116}{10}$

### Explanation

Step 1:

The decimal 12.8 is read as 12 and 8 tenths. So it is written as a mixed number $12\frac{8}{10}$

Step 2:

The mixed number has a whole number part 12 and a fractional part $\frac{8}{10}$

Step 3:

It is converted to an improper fraction as follows. 12 × 10 + 8 = 128. This is the numerator of the improper fraction and 10 is the denominator.

So, $12 \frac{8}{10} = \frac{128}{10}$

### Explanation

Step 1:

The decimal 15.2 is read as 15 and 2 tenths. So, it is written as a mixed number $15\frac{2}{10}$

Step 2:

The mixed number has a whole number part 15 and a fractional part $\frac{2}{10}$

Step 3:

It is converted to an improper fraction as follows. 15 × 10 + 2 = 152. This is the numerator of the improper fraction and 10 is the denominator.

So, $15 \frac{2}{10} = \frac{152}{10}$

converting_decimal_to_mixed_number_and_an_improper_fraction_without_simplifying.htm