Converting 7.945 to a Fraction
Step-by-step explanation of how to convert 7.945 to a fraction
Result
7.945 =
1589
200
Mixed number:
7
189
200
Step 1: Identify the number of decimal places
The decimal 7.945 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
7.945 × 1000 = 7945
Step 3: Write as a fraction
7.945 =
7945
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7945 and 1000.
GCD(7945, 1000) = 5
Divide both the numerator and denominator by the GCD:
7945
1000
=
7945 ÷ 5
1000 ÷ 5
=
1589
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions