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

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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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