Change 0.16 to a fraction.
A.
1/8
B.
4/25
C.
3/4
D.
1/4
To convert the decimal 0.160.160.16 to a fraction, follow these steps:
- Write the decimal as a fraction:
- 0.160.160.16 means 16 hundredths, which can be written as 16100\frac{16}{100}10016.
- Simplify the fraction:
- Find the greatest common divisor (GCD) of 16 and 100. The GCD is 4.
- Divide both the numerator and the denominator by their GCD: 16÷4100÷4=425\frac{16 \div 4}{100 \div 4} = \frac{4}{25}100÷416÷4=254
Thus, 0.160.160.16 as a simplified fraction is 425\frac{4}{25}254.
The correct answer is:
B. 4/25