Converting 45.85824 to a Fraction
Step-by-step explanation of how to convert 45.85824 to a fraction

Result

45.85824 =
143307
3125
Mixed number:
45
2682
3125

Step 1: Identify the number of decimal places

The decimal 45.85824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

45.85824 × 100000 = 4585824

Step 3: Write as a fraction

45.85824 =

4585824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4585824 and 100000.

GCD(4585824, 100000) = 32

Divide both the numerator and denominator by the GCD:

4585824
100000

=

4585824 ÷ 32
100000 ÷ 32

=

143307
3125
Related Conversions
Other decimal to fraction conversions you might find useful