Chapter 3: Problem 4

Write each of the following as a decimal number: \(\begin{array}{lll}\text { (a) } \frac{1}{5} \text { (b) } \frac{3}{20} & \text { (c) } \frac{7}{40} & \text { (d) } \frac{21}{84} \text { (e) } \frac{110}{20}\end{array}\)

Short Answer

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Question: Convert the following fractions to decimal form: (a) \(\frac{1}{5}\), (b) \(\frac{3}{20}\), (c) \(\frac{7}{40}\), (d) \(\frac{21}{84}\), and (e) \(\frac{110}{20}\). Answer: (a) 0.2, (b) 0.15, (c) 0.175, (d) 0.25, (e) 5.5.

Step by step solution

(a) Convert \(\frac{1}{5}\) to decimal form

To convert \(\frac{1}{5}\) to decimal form, divide the numerator (1) by the denominator (5): \(1 \div 5 = 0.2\).

(b) Convert \(\frac{3}{20}\) to decimal form

To convert \(\frac{3}{20}\) to decimal form, divide the numerator (3) by the denominator (20): \(3 \div 20 = 0.15\).

(c) Convert \(\frac{7}{40}\) to decimal form

To convert \(\frac{7}{40}\) to decimal form, divide the numerator (7) by the denominator (40): \(7 \div 40 = 0.175\).

(d) Convert \(\frac{21}{84}\) to decimal form

To convert \(\frac{21}{84}\) to decimal form, divide the numerator (21) by the denominator (84): \(21 \div 84 \approx 0.25\). Note that this fraction can be simplified to \(\frac{1}{4}\) before converting to a decimal.

(e) Convert \(\frac{110}{20}\) to decimal form

To convert \(\frac{110}{20}\) to decimal form, divide the numerator (110) by the denominator (20): \(110 \div 20 = 5.5\).

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Write each of the following as a decimal number: \(\begin{array}{lll}\text { (a) } \frac{1}{5} \text { (b) } \frac{3}{20} & \text { (c) } \frac{7}{40} & \text { (d) } \frac{21}{84} \text { (e) } \frac{110}{20}\end{array}\)

Short Answer

Step by step solution

(a) Convert \(\frac{1}{5}\) to decimal form

(b) Convert \(\frac{3}{20}\) to decimal form

(c) Convert \(\frac{7}{40}\) to decimal form

(d) Convert \(\frac{21}{84}\) to decimal form

(e) Convert \(\frac{110}{20}\) to decimal form

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