Converting 1.585 to a Fraction
Step-by-step explanation of how to convert 1.585 to a fraction
Result
1.585 =
317
200
Mixed number:
1
117
200
Step 1: Identify the number of decimal places
The decimal 1.585 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.585 × 1000 = 1585
Step 3: Write as a fraction
1.585 =
1585
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1585 and 1000.
GCD(1585, 1000) = 5
Divide both the numerator and denominator by the GCD:
1585
1000
=
1585 ÷ 5
1000 ÷ 5
=
317
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions