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To convert the decimal 1.7 into a fraction, follow these steps:

  1. Understand the Decimal: The decimal 1.7 consists of a whole number part and a decimal part. The whole number part is 1 and the decimal part is 0.7.
  2. Convert the Decimal Part: To convert 0.7 into a fraction, recognize that 0.7 is equivalent to 7/10. This is because the digit 7 is in the tenths place.
  3. Combine the Whole Number and the Fraction: So, we can express 1.7 as a combination of the whole number 1 and the fraction 7/10:

    1 + 0.7 = 1 + 7/10.

  4. Write as a Mixed Number: We can write this as a mixed number:

    1 7/10.

  5. Convert to Improper Fraction (Optional): Sometimes it's useful to convert a mixed number to an improper fraction. To do this, multiply the whole number (1) by the denominator (10) and add the numerator (7):

    (1 × 10) + 7 = 10 + 7 = 17. So, we write it as 17/10.

In conclusion, 1.7 can be expressed as either 7/10 in fraction form, or 1 7/10 as a mixed number.


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