Converting 46.58624 to a Fraction
Step-by-step explanation of how to convert 46.58624 to a fraction

Result

46.58624 =
145582
3125
Mixed number:
46
1832
3125

Step 1: Identify the number of decimal places

The decimal 46.58624 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

46.58624 × 100000 = 4658624

Step 3: Write as a fraction

46.58624 =

4658624
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4658624 and 100000.

GCD(4658624, 100000) = 32

Divide both the numerator and denominator by the GCD:

4658624
100000

=

4658624 ÷ 32
100000 ÷ 32

=

145582
3125
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