Decimal Fraction

(1) If $0.75$ is expressed as a fraction, what is its simplest form?

• (a) $\frac{15}{20}$
• (b) $\frac{3}{4}$
• (c) $\frac{75}{100}$
• (d) $\frac{7}{10}$

Answer

Correct Answer: (b) $\frac{3}{4}$
$0.75 = \frac{75}{100} = \frac{3 \times 25}{4 \times 25} = \frac{3}{4}$

(2) What is the value of $0.125 \times 100$ in percentage?

• (a) 12.5\%
• (b) 125\%
• (c) 1.25\%
• (d) 0.125\%

Answer

Correct Answer: (b) 125\%
$0.125 \times 100 = \frac{125}{100} = 125\%$

(3) Round the decimal $0.8391$ to the nearest hundredth.

• (a) 0.84
• (b) 0.83
• (c) 0.839
• (d) 0.80

Answer

Correct Answer: (a) 0.84
$0.8391 \text{ rounded to the nearest hundredth is } 0.84 \text{, since the third decimal place is 9, which rounds up.}$

(4) What is $0.625$ as a fraction in its simplest form?

• (a) $\frac{5}{8}$
• (b) $\frac{25}{40}$
• (c) $\frac{62}{100}$
• (d) $\frac{6}{10}$

Answer

Correct Answer: (a) $\frac{5}{8}$
$0.625 = \frac{625}{1000} = \frac{5 \times 125}{8 \times 125} = \frac{5}{8}$

(5) If you increase $0.4$ by $25\%$, what is the result?

• (a) 0.5
• (b) 0.45
• (c) 0.3
• (d) 0.475

Answer

Correct Answer: (a) 0.5
To increase $0.4$ by $25\%$, you add $0.4 \times 0.25 = 0.1$ to it, resulting in $0.4 + 0.1 = 0.5$.