Converting 46.90816 to a Fraction
Step-by-step explanation of how to convert 46.90816 to a fraction

Result

46.90816 =
146588
3125
Mixed number:
46
2838
3125

Step 1: Identify the number of decimal places

The decimal 46.90816 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

46.90816 × 100000 = 4690816

Step 3: Write as a fraction

46.90816 =

4690816
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4690816 and 100000.

GCD(4690816, 100000) = 32

Divide both the numerator and denominator by the GCD:

4690816
100000

=

4690816 ÷ 32
100000 ÷ 32

=

146588
3125
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