To express 0.725 as a fraction, follow these steps:
- Since there are three digits after the decimal point, we can write 0.725 as 725 divided by 1000:
0.725 = 725/1000
- Next, we simplify the fraction. To do that, we need to find the greatest common divisor (GCD) of 725 and 1000.
- After finding the GCD, which is 25, we can divide both the numerator and the denominator by 25:
725 ÷ 25 = 29
1000 ÷ 25 = 40
- Therefore, the simplified fraction is:
0.725 = 29/40
In conclusion, 0.725 can be expressed as the fraction 29/40.