To convert the decimal 0.375 into a fraction, we can follow these steps:
- First, observe that 0.375 has three digits after the decimal point. This tells us that we can write it over 1000 (since there are three decimal places). So, we write:
- Next, we simplify the fraction. To do this, we find the greatest common divisor (GCD) of 375 and 1000. The GCD of 375 and 1000 is 125.
- Now, we divide both the numerator and the denominator by their GCD:
- Thus, 0.375 simplifies to:
0.375 = 375 / 1000
375 ÷ 125 = 3
1000 ÷ 125 = 8
0.375 = 3 / 8
In conclusion, the decimal 0.375 can be expressed as the fraction 3/8.