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Question

Difficulty: EasyConverting Between Fractions, Decimals, and Percents

A supply clerk notes that 720\frac{7}{20} of the spare parts inventory needs to be restocked. What decimal represents the portion of the inventory that needs restocking?

Answer: 0.35

Answer

0.35
To convert the fraction 720\frac{7}{20} to a decimal, you divide the numerator (7) by the denominator (20), which equals 0.35. Alternatively, you can multiply both the numerator and denominator by 5 to get the equivalent fraction 35100\frac{35}{100}, which is easily read as the decimal 0.35.

Step-by-Step Solution

1
Identify the fraction that needs to be converted.
The fraction is 720\frac{7}{20}.
This fraction represents the portion of the inventory to be restocked.
2
Convert the fraction into an equivalent fraction with a base-10 denominator, such as 100.
7×520×5=35100\frac{7 \times 5}{20 \times 5} = \frac{35}{100}
Fractions with a denominator of 100 can be easily and directly written as decimals.
3
Write the resulting fraction as a decimal.
0.35
35100\frac{35}{100} represents 35 hundredths, which is 0.35 in decimal form.

Key Concept

Converting Fractions to Decimals

Alternative Method

You can use long division to divide 7.00 by 20. 20 goes into 70 three times (with a remainder of 10). Bring down a 0 to make 100. 20 goes into 100 five times, resulting in 0.35.
Estimated Time:45s
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Topics

Converting Between Fractions, Decimals, and Percents

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