Converting 46.613824 to a Fraction
Step-by-step explanation of how to convert 46.613824 to a fraction

Result

46.613824 =
728341
15625
Mixed number:
46
9591
15625

Step 1: Identify the number of decimal places

The decimal 46.613824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

46.613824 × 1000000 = 46613824

Step 3: Write as a fraction

46.613824 =

46613824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46613824 and 1000000.

GCD(46613824, 1000000) = 64

Divide both the numerator and denominator by the GCD:

46613824
1000000

=

46613824 ÷ 64
1000000 ÷ 64

=

728341
15625
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