Converting 46.71408 to a Fraction
Step-by-step explanation of how to convert 46.71408 to a fraction

Result

46.71408 =
291963
6250
Mixed number:
46
4463
6250

Step 1: Identify the number of decimal places

The decimal 46.71408 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

46.71408 × 100000 = 4671408

Step 3: Write as a fraction

46.71408 =

4671408
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4671408 and 100000.

GCD(4671408, 100000) = 16

Divide both the numerator and denominator by the GCD:

4671408
100000

=

4671408 ÷ 16
100000 ÷ 16

=

291963
6250
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