Decimal Fraction

(6) Write \(0.025\) as a fraction in its simplest form.

• (a) \(\frac{1}{40}\)
• (b) \(\frac{25}{1000}\)
• (c) \(\frac{2.5}{100}\)
• (d) \(\frac{25}{10}\)

Answer

Correct Answer: (a) \(\frac{1}{40}\)
0.025 = \frac{25}{1000} = \frac{1 \times 25}{40 \times 25} = \frac{1}{40}

(7) If a number is increased by \(20\%\) and the result is \(48\), what is the original number?

• (a) 38.4
• (b) 40
• (c) 44.8
• (d) 50

Answer

Correct Answer: (b) 40
If \(x\) is the original number, increasing it by \(20\%\) gives \(x + 0.2x = 1.2x\). If \(1.2x = 48\), then \(x = \frac{48}{1.2} = 40\).

(8) Express \(0.16\) as a fraction in its simplest form.

• (a) \(\frac{16}{100}\)
• (b) \(\frac{1}{16}\)
• (c) \(\frac{8}{50}\)
• (d) \(\frac{4}{25}\)

Answer

Correct Answer: (d) \(\frac{4}{25}\)
0.16 = \frac{16}{100} = \frac{4 \times 4}{25 \times 4} = \frac{4}{25}

(9) If \(0.72\) is expressed as a percentage, what is it?

• (a) 7.2%
• (b) 72%
• (c) 72.0%
• (d) 0.072%

Answer

Correct Answer: (c) 72.0%
0.72 = 72.0\%

(10) What is the equivalent fraction of \(0.6\) with a denominator of \(10\)?

• (a) \(\frac{1}{16}\)
• (b) \(\frac{1}{6}\)
• (c) \(\frac{3}{5}\)
• (d) \(\frac{6}{10}\)

Answer

Correct Answer: (d) \(\frac{6}{10}\)
0.6 = \frac{6}{10}