Decimal Fraction

(11) If \(0.875\) is expressed as a mixed number, what is it?

• (a) \(8\frac{1}{4}\)
• (b) \(8\frac{3}{8}\)
• (c) \(8\frac{7}{10}\)
• (d) \(8\frac{75}{100}\)

Answer

Correct Answer: (b) \(8\frac{3}{8}\)
0.875 = 8\frac{3}{8}

(12) What is \(0.45\) as a fraction in its simplest form?

• (a) \(\frac{4}{10}\)
• (b) \(\frac{9}{20}\)
• (c) \(\frac{9}{20}\)
• (d) \(\frac{45}{100}\)

Answer

Correct Answer: (c) \(\frac{9}{20}\)
0.45 = \frac{45}{100} = \frac{9 \times 5}{20 \times 5} = \frac{9}{20}

(13) If you decrease \(0.6\) by \(40\%\), what is the result?

• (a) 0.36
• (b) 0.24
• (c) 0.36
• (d) 0.64

Answer

Correct Answer: (c) 0.36
To decrease \(0.6\) by \(40\%\), you subtract \(0.6 \times 0.4 = 0.24\) from it, resulting in \(0.6 – 0.24 = 0.36\).

(14) Write \(0.072\) as a fraction in its simplest form.

• (a) \(\frac{72}{1000}\)
• (b) \(\frac{7.2}{100}\)
• (c) \(\frac{18}{250}\)
• (d) \(\frac{72}{250}\)

Answer

Correct Answer: (c) \(\frac{18}{250}\)
0.072 = \frac{72}{1000} = \frac{18 \times 4}{250 \times 4} = \frac{18}{250}

(15) If a number is decreased by \(15\%\) and the result is \(85\), what is the original number?

• (a) 85
• (b) 95
• (c) 100
• (d) 100

Answer

Correct Answer: (d) 100
If \(x\) is the original number, decreasing it by \(15\%\) gives \(x – 0.15x = 0.85x\). If \(0.85x = 85\), then \(x = \frac{85}{0.85} = 100\).