Converting 46.65784 to a Fraction
Step-by-step explanation of how to convert 46.65784 to a fraction

Result

46.65784 =
583223
12500
Mixed number:
46
8223
12500

Step 1: Identify the number of decimal places

The decimal 46.65784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

46.65784 × 100000 = 4665784

Step 3: Write as a fraction

46.65784 =

4665784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4665784 and 100000.

GCD(4665784, 100000) = 8

Divide both the numerator and denominator by the GCD:

4665784
100000

=

4665784 ÷ 8
100000 ÷ 8

=

583223
12500
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