Decimal Fraction

(21) If \(0.4\) is expressed as a mixed number, what is it?

• (a) \(2\frac{1}{2}\)
• (b) \(4\frac{1}{2}\)
• (c) \(4\frac{4}{10}\)
• (d) \(4\frac{2}{5}\)

Answer

Correct Answer: (d) \(4\frac{2}{5}\)
0.4 = 4\frac{2}{5}

(22) What is \(0.09\) as a fraction in its simplest form?

• (a) \(\frac{9}{10}\)
• (b) \(\frac{9}{100}\)
• (c) \(\frac{9}{1000}\)
• (d) \(\frac{90}{1000}\)

Answer

Correct Answer: (b) \(\frac{9}{100}\)
0.09 = \frac{9}{100}

(23) If you increase \(0.125\) by \(75\%\), what is the result?

• (a) 0.1875
• (b) 0.375
• (c) 0.21875
• (d) 0.5

Answer

Correct Answer: (c) 0.21875
To increase \(0.125\) by \(75\%\), you add \(0.125 \times 0.75 = 0.09375\) to it, resulting in \(0.125 + 0.09375 = 0.21875\).

(24) Write \(0.00625\) as a fraction in its simplest form.

• (a) \(\frac{625}{10000}\)
• (b) \(\frac{6.25}{1000}\)
• (c) \(\frac{625}{100000}\)
• (d) \(\frac{62.5}{10000}\)

Answer

Correct Answer: (c) \(\frac{625}{100000}\)
0.00625 = \frac{625}{100000} = \frac{625}{10 \times 10000} = \frac{625}{100000}

(25) If a number is increased by \(10\%\) and the result is \(66\), what is the original number?

• (a) 72.6
• (b) 60
• (c) 66.6
• (d) 60

Answer

Correct Answer: (d) 60
If \(x\) is the original number, increasing it by \(10\%\) gives \(x + 0.1x = 1.1x\). If \(1.1x = 66\), then \(x = \frac{66}{1.1} = 60\).