Converting 0.856 to a Fraction
Step-by-step explanation of how to convert 0.856 to a fraction
Result
0.856 =
107
125
Step 1: Identify the number of decimal places
The decimal 0.856 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.856 × 1000 = 856
Step 3: Write as a fraction
0.856 =
856
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 856 and 1000.
GCD(856, 1000) = 8
Divide both the numerator and denominator by the GCD:
856
1000
=
856 ÷ 8
1000 ÷ 8
=
107
125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions