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How do you write 0.09 as a fraction?

7 answers

To convert the decimal 0.09 into a fraction, follow these steps:

  1. Write 0.09 as a fraction with the decimal number as the numerator and a power of 10 as the denominator. Since there are two digits after the decimal point, use 100 as the denominator:

    \[ 0.09 = \frac{9}{100} \]

  2. Next, check if the fraction can be simplified. The numerator and the denominator have no common factors other than 1, so the fraction \(\frac{9}{100}\) is already in its simplest form.

Thus, 0.09 as a fraction is \(\frac{9}{100}\).

One of these

1/5

1/12

1/11

1/9

To determine which of the given fractions is equivalent to 0.09, we can convert each fraction to a decimal and see which one matches 0.09.

  1. Convert \( \frac{1}{5} \): \[ 1 \div 5 = 0.2 \]

  2. Convert \( \frac{1}{12} \): \[ 1 \div 12 \approx 0.0833 \]

  3. Convert \( \frac{1}{11} \): \[ 1 \div 11 \approx 0.0909 \]

  4. Convert \( \frac{1}{9} \): \[ 1 \div 9 \approx 0.1111 \]

From the conversions:

  • \( \frac{1}{5} = 0.2 \)
  • \( \frac{1}{12} \approx 0.0833 \)
  • \( \frac{1}{11} \approx 0.0909 \)
  • \( \frac{1}{9} \approx 0.1111 \)

The fraction that is closest to 0.09 is \( \frac{1}{11} \) (approximately 0.0909). However, it is not exact.

None of the provided fractions exactly equal 0.09, but \( \frac{1}{11} \) is the nearest fraction representation.

How do you write 0.1 as a fraction?

To convert the decimal 0.1 into a fraction, follow these steps:

  1. Identify the decimal place value: The digit 1 is in the tenths place. Therefore, 0.1 can be expressed as: \[ \frac{1}{10} \]

  2. Check for simplification: The fraction \(\frac{1}{10}\) is already in its simplest form, as 1 and 10 have no common factors other than 1.

Thus, 0.1 as a fraction is \(\frac{1}{10}\).

Bestie choose one of these

1/8

1/9

1/4

1/3

To determine which fraction is equivalent to 0.1 (or as close to it as possible), let's convert each of the given fractions into decimal form:

  1. Convert \( \frac{1}{8} \): \[ 1 \div 8 = 0.125 \]

  2. Convert \( \frac{1}{9} \): \[ 1 \div 9 \approx 0.1111 \]

  3. Convert \( \frac{1}{4} \): \[ 1 \div 4 = 0.25 \]

  4. Convert \( \frac{1}{3} \): \[ 1 \div 3 \approx 0.3333 \]

Now, comparing the decimal values:

  • \( \frac{1}{8} = 0.125 \)
  • \( \frac{1}{9} \approx 0.1111 \)
  • \( \frac{1}{4} = 0.25 \)
  • \( \frac{1}{3} \approx 0.3333 \)

The fraction that is closest to 0.1 is \( \frac{1}{9} \approx 0.1111 \).