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 \(0.4 + 0.1 = 0.5\).