0.93 as a fraction

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To convert the decimal 0.93 to a fraction, you can follow these steps:

  1. Write 0.93 as a fraction:
    \[ 0.93 = \frac{93}{100} \]

  2. Simplify the fraction if possible. To simplify \(\frac{93}{100}\), we check if there are any common factors between the numerator (93) and the denominator (100).

    The prime factorization of 93 is \(3 \times 31\), and the prime factorization of 100 is \(2^2 \times 5^2\). Since 93 and 100 have no common factors, the fraction cannot be simplified further.

Thus, the fraction representation of 0.93 is: \[ \frac{93}{100} \]

0.7

To convert the decimal 0.7 to a fraction, you can follow these steps:

  1. Write 0.7 as a fraction:
    \[ 0.7 = \frac{7}{10} \]

  2. Check if the fraction can be simplified. The numerator (7) is a prime number, and the denominator (10) can be factored into \(2 \times 5\). Since they have no common factors other than 1, the fraction cannot be simplified further.

Thus, the fraction representation of 0.7 is: \[ \frac{7}{10} \]

0.6

To convert the decimal 0.6 to a fraction, follow these steps:

  1. Write 0.6 as a fraction:
    \[ 0.6 = \frac{6}{10} \]

  2. Simplify the fraction. The numerator (6) and the denominator (10) can both be divided by their greatest common divisor, which is 2: \[ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \]

Thus, the simplified fraction representation of 0.6 is: \[ \frac{3}{5} \]

0.1

To convert the decimal 0.1 to a fraction, you can follow these steps:

  1. Write 0.1 as a fraction:
    \[ 0.1 = \frac{1}{10} \]

  2. Check if the fraction can be simplified. The numerator (1) is a prime number, and the denominator (10) is not divisible by 1 other than itself. Therefore, the fraction cannot be simplified further.

Thus, the fraction representation of 0.1 is: \[ \frac{1}{10} \]

0.75

To convert the decimal 0.75 to a fraction, follow these steps:

  1. Write 0.75 as a fraction:
    \[ 0.75 = \frac{75}{100} \]

  2. Simplify the fraction. To simplify \(\frac{75}{100}\), find the greatest common divisor (GCD) of 75 and 100, which is 25. Now divide both the numerator and the denominator by their GCD: \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

Thus, the simplified fraction representation of 0.75 is: \[ \frac{3}{4} \]

0.2

To convert the decimal 0.2 to a fraction, follow these steps:

  1. Write 0.2 as a fraction:
    \[ 0.2 = \frac{2}{10} \]

  2. Simplify the fraction. The numerator (2) and the denominator (10) can both be divided by their greatest common divisor, which is 2: \[ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \]

Thus, the simplified fraction representation of 0.2 is: \[ \frac{1}{5} \]

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