Converting 46.304 to a Fraction
Step-by-step explanation of how to convert 46.304 to a fraction

Result

46.304 =
5788
125
Mixed number:
46
38
125

Step 1: Identify the number of decimal places

The decimal 46.304 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

46.304 × 1000 = 46304

Step 3: Write as a fraction

46.304 =

46304
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46304 and 1000.

GCD(46304, 1000) = 8

Divide both the numerator and denominator by the GCD:

46304
1000

=

46304 ÷ 8
1000 ÷ 8

=

5788
125
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