# Converting Decimals to Fractions: Part A

If a decimal number terminates (in other words, the digits don't go on forever), express the decimal number as a common fraction with a power of ten as the denominator. Then reduce the fraction to lowest terms .

Since we need to put our number over a power of ten, we need to know what the various places after the decimal point mean.

**
Example:
**

Express $0.425$ as a fraction in lowest terms.

Since there are $3$ digits in $425$ , the very last digit is the $1000$ th place.

So, $0.425$ is read $425$ thousandths.

It is written $\frac{425}{1000}$ . It is now in fraction form but not reduced to lowest terms.

$425$ and $1000$ have a common factor of $25$ , so we have to divide both the numerator and the denominator by $25$ to reduce the fraction.

$\frac{425}{1000}\xf7\frac{25}{25}=\frac{17}{40}$ . Now the fraction is in lowest terms.

- 2nd Grade English Tutors
- OAT Physics Courses & Classes
- WPPSI Test Prep
- Ohio Bar Exam Courses & Classes
- CPPA - Certified Professional Public Adjuster Courses & Classes
- Persian Tutors
- Trigonometry Tutors
- MOS - Microsoft Office Specialist Test Prep
- Spanish Lessons
- French Courses & Classes
- Series 23 Test Prep
- CTP - Certified Treasury Professional Courses & Classes
- Vermont Bar Exam Test Prep
- CAE - Certified Association Executive Exam Courses & Classes
- Leadership Development Tutors
- Washington Bar Exam Courses & Classes
- ACT Residual Tutors
- California Proficiency Program (CPP) Test Prep
- CCNP - Cisco Certified Network Professional Courses & Classes
- AIS - Associate in Insurance Services Tutors