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Converting a decimal to a mixed number and an improper fraction in simplest form: Basic Online Quiz

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Following quiz provides Multiple Choice Questions (MCQs) related to Converting a decimal to a mixed number and an improper fraction in simplest form: Basic. 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.

Questions and Answers

Answer : A

Explanation

Step 1:

The decimal 4.6 is read as 4 and 6 tenths. So, it is written as a mixed number $4\frac{6}{10}$

Step 2:

In simplest form $4\frac{29}{100} = 4\frac{3}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 4 × 5 + 3 = 23. This the numerator of the improper fraction and 5 is the denominator.

So, $4\frac{3}{5} = \frac{23}{5}$

Answer : B

Explanation

Step 1:

The decimal 5.8 is read as 5 and 8 tenths. So, it is written as a mixed number $5\frac{8}{10}$

Step 2:

In simplest form $5\frac{8}{10} = 5\frac{4}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 5 × 5 + 4 = 29. This the numerator of the improper fraction and 5 is the denominator.

So, $5\frac{4}{5} = \frac{29}{5}$

Answer : D

Explanation

Step 1:

The decimal 6.6 is read as 6 and 6 tenths. So, it is written as a mixed number $6\frac{6}{10}$

Step 2:

In simplest form $6\frac{6}{10} = 6\frac{6}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 6 × 5 + 3 = 33. This the numerator of the improper fraction and 5 is the denominator.

So, $6\frac{3}{5} = \frac{33}{5}$

Answer : C

Explanation

Step 1:

The decimal 7.2 is read as 7 and 2 tenths. So, it is written as a mixed number $7\frac{2}{10}$

Step 2:

In simplest form $7\frac{2}{10} = 7\frac{1}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 7 × 5 + 1 = 36. This the numerator of the improper fraction and 5 is the denominator.

So, $7\frac{1}{5} = \frac{36}{5}$

Answer : B

Explanation

Step 1:

The decimal 8.2 is read as 8 and 2 tenths. So, it is written as a mixed number $8\frac{2}{10}$

Step 2:

In simplest form $8\frac{2}{10} = 8\frac{1}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 8 × 5 + 1 = 41. This the numerator of the improper fraction and 5 is the denominator.

So, $8\frac{1}{5} = \frac{41}{5}$

Answer : A

Explanation

Step 1:

The decimal 9.6 is read as 9 and 6 tenths. So it is written as a mixed number $9\frac{6}{10}$

Step 2:

In simplest form $9\frac{6}{10} = 9\frac{3}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 9 × 5 + 3 = 48. This the numerator of the improper fraction and 5 is the denominator.

So, $9\frac{3}{5} = \frac{48}{5}$

Answer : C

Explanation

Step 1:

The decimal 10.2 is read as 10 and 2 tenths. So, it is written as a mixed number $10\frac{2}{10}$

Step 2:

In simplest form $10\frac{2}{10} = 10\frac{1}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 10 × 5 + 1 = 51. This the numerator of the improper fraction and 5 is the denominator.

So, $10\frac{1}{5} = \frac{51}{5}$

Answer : D

Explanation

Step 1:

The decimal 12.4 is read as 12 and 4 tenths. So, it is written as a mixed number $12\frac{4}{10}$

Step 2:

In simplest form $12\frac{4}{10} = 12\frac{2}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 12 × 5 + 2 = 62. This the numerator of the improper fraction and 5 is the denominator.

So, $12\frac{2}{5} = \frac{62}{5}$

Answer : A

Explanation

Step 1:

The decimal 15.8 is read as 15 and 8 tenths. So, it is written as a mixed number $15\frac{8}{10}$

Step 2:

In simplest form $15\frac{8}{10} = 15\frac{4}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 15 × 5 + 4 = 64. This the numerator of the improper fraction and 5 is the denominator.

So, $15\frac{4}{5} = \frac{64}{5}$

Answer : B

Explanation

Step 1:

The decimal 16.4 is read as 16 and 4 tenths. So, it is written as a mixed number $16\frac{4}{10}$

Step 2:

In simplest form $16\frac{4}{10} = 16\frac{2}{5}$

Step 3:

The same number is converted into an improper fraction as follows. 16 × 5 + 2 = 82. This the numerator of the improper fraction and 5 is the denominator.

So, $16\frac{2}{5} = \frac{82}{5}$

converting_decimal_to_mixed_number_and_an_improper_fraction_in_simplest_form_basic.htm
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