0.64 as a fraction in lowest term
1. 64/10
2 5/32
3. 16/25
4 .4/5
The correct answer and explanation is:
To express 0.64 as a fraction in its lowest terms, the first step is to recognize that 0.64 means 64 hundredths, or 64/100.
Step 1: Write the decimal as a fraction
0.64 can be written as: 0.64=641000.64 = \frac{64}{100}
Step 2: Simplify the fraction
Next, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 64 and 100 is 4, so divide both by 4: 64÷4100÷4=1625\frac{64 \div 4}{100 \div 4} = \frac{16}{25}
Step 3: Check if the fraction is in its lowest terms
The fraction 1625\frac{16}{25} cannot be simplified further because the numerator (16) and the denominator (25) have no common factors other than 1. Therefore, the fraction is in its lowest terms.
Step 4: Verify the answer
To verify the correctness, convert 1625\frac{16}{25} back to a decimal by dividing the numerator by the denominator: 1625=0.64\frac{16}{25} = 0.64
This confirms that the fraction is equivalent to the decimal 0.64.
Conclusion
The correct answer is option 3: 16/25.
This process involves recognizing the decimal as a fraction, simplifying the fraction, and ensuring the result is in its lowest terms.