To convert the decimal 1.7 into a fraction, follow these steps:
- 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.
- 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.
- 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.
- Write as a Mixed Number: We can write this as a mixed number:
1 7/10.
- 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.