Converting 0.35625 to a Fraction
Step-by-step explanation of how to convert 0.35625 to a fraction
Result
0.35625 =
57
160
Step 1: Identify the number of decimal places
The decimal 0.35625 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.35625 × 100000 = 35625
Step 3: Write as a fraction
0.35625 =
35625
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 35625 and 100000.
GCD(35625, 100000) = 625
Divide both the numerator and denominator by the GCD:
35625
100000
=
35625 ÷ 625
100000 ÷ 625
=
57
160
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions