how do I express these decimals as fraction in lowest terms?
-9.8 and 1.6666666
-9 8/10 = -9 4/5
1 2/3
To express decimals as fractions in lowest terms, follow these steps:
1. Identify the place value of the rightmost digit after the decimal point.
- For -9.8, the rightmost digit is 8, which is in the tenths place.
- For 1.6666666, the rightmost digit is 6, which is in the millionths place.
2. Write the decimal number as a fraction by placing the decimal part over the appropriate power of 10.
- For -9.8, the decimal part (8) is written as 8/10 since it is in the tenths place.
- For 1.6666666, the decimal part (6666666) is written as 6666666/10000000 since it is in the millionths place.
3. Simplify the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).
- For -9.8, the GCD of 8 and 10 is 2, so we divide both the numerator and denominator by 2. The fraction becomes -4/5.
- For 1.6666666, the GCD of 6666666 and 10000000 is 2, so we divide both the numerator and denominator by 2 as well. The fraction becomes 3333333/5000000.
Therefore, -9.8 can be expressed as -4/5 in lowest terms, and 1.6666666 can be expressed as 3333333/5000000 in lowest terms.