What is the fraction of 1.3

General
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what is the fraction of 1.3

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What is the fraction of 1.3?

Answer: To convert the decimal 1.3 to a fraction, follow these steps:

  1. Write the Decimal as a Fraction:

    • Place the decimal number over 1.
    • Thus, 1.3 becomes \frac{1.3}{1}.

  2. Eliminate the Decimal Point:

    • To do this, multiply both the numerator and the denominator by 10. This is because 1.3 has one digit after the decimal point.
    • Therefore, multiply \frac{1.3}{1} by \frac{10}{10}:
    \frac{1.3 \times 10}{1 \times 10} = \frac{13}{10}

  3. Simplify the Fraction:

    • The fraction \frac{13}{10} cannot be simplified further because 13 is a prime number and does not have common factors with 10.

Therefore, the fraction of 1.3 is \boxed{\frac{13}{10}}.

If you’d like this represented as a mixed number:

  • 1.3 can be written as 1 + 0.3, and 0.3 is equivalent to \frac{3}{10}.
  • Hence, 1.3 can also be written as 1 \frac{3}{10}.

So, the decimal 1.3 can either be represented as an improper fraction \frac{13}{10} or as a mixed number 1 \frac{3}{10}.