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



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Questions and Answers

Answer : C

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

Answer : A

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

Answer : B

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

Answer : D

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

Answer : A

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

Answer : C

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

Answer : B

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

Answer : D

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

Answer : B

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

Answer : A

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

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