0.07 as a fraction

11 answers

To convert 0.07 to a fraction, you can follow these steps:

  1. Write 0.07 as \(\frac{7}{100}\) since it is in the hundredths place.
  2. The fraction \(\frac{7}{100}\) is already in its simplest form because 7 is a prime number and does not share any common factors with 100.

Therefore, 0.07 as a fraction is \(\frac{7}{100}\).

0.7

To convert 0.7 to a fraction, follow these steps:

  1. Write 0.7 as \(\frac{7}{10}\) since it is in the tenths place.
  2. The fraction \(\frac{7}{10}\) is already in its simplest form because 7 is a prime number and does not share any common factors with 10.

Therefore, 0.7 as a fraction is \(\frac{7}{10}\).

0.55

To convert 0.55 to a fraction, follow these steps:

  1. Write 0.55 as \(\frac{55}{100}\) since it is in the hundredths place.

  2. To simplify \(\frac{55}{100}\), divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5:

    \[ \frac{55 \div 5}{100 \div 5} = \frac{11}{20} \]

Therefore, 0.55 as a fraction in simplest form is \(\frac{11}{20}\).

-0.875

To convert \(-0.875\) to a fraction, follow these steps:

  1. Write the decimal as a fraction:
    \(-0.875\) can be expressed as \(-\frac{875}{1000}\) since it has three decimal places.

  2. Simplify the fraction:
    To simplify \(-\frac{875}{1000}\), find the greatest common divisor (GCD) of 875 and 1000. The GCD is 125.

    Divide both the numerator and the denominator by 125: \[ -\frac{875 \div 125}{1000 \div 125} = -\frac{7}{8} \]

Therefore, \(-0.875\) as a fraction in simplest form is \(-\frac{7}{8}\).

5.69

To convert \(5.69\) to a fraction, follow these steps:

  1. Write the whole number part and the decimal part separately. The whole number part is \(5\), and the decimal part \(0.69\) can be expressed as a fraction.

  2. Convert the decimal part:
    \(0.69\) can be written as \(\frac{69}{100}\) since it is in the hundredths place.

  3. Combine the whole number and the decimal fraction:
    You can express \(5.69\) as: \[ 5 + \frac{69}{100} = \frac{5 \times 100}{100} + \frac{69}{100} = \frac{500}{100} + \frac{69}{100} = \frac{500 + 69}{100} = \frac{569}{100} \]

  4. Check for simplification:
    The fraction \(\frac{569}{100}\) cannot be simplified further because 569 is a prime number.

Therefore, \(5.69\) as a fraction is \(\frac{569}{100}\).

0.9

To convert \(0.9\) to a fraction, follow these steps:

  1. Write \(0.9\) as \(\frac{9}{10}\) since it is in the tenths place.

The fraction \(\frac{9}{10}\) is already in its simplest form, as 9 and 10 have no common factors other than 1.

Therefore, \(0.9\) as a fraction is \(\frac{9}{10}\).