Converting 47.96384 to a Fraction
Step-by-step explanation of how to convert 47.96384 to a fraction

Result

47.96384 =
149887
3125
Mixed number:
47
3012
3125

Step 1: Identify the number of decimal places

The decimal 47.96384 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.96384 × 100000 = 4796384

Step 3: Write as a fraction

47.96384 =

4796384
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4796384 and 100000.

GCD(4796384, 100000) = 32

Divide both the numerator and denominator by the GCD:

4796384
100000

=

4796384 ÷ 32
100000 ÷ 32

=

149887
3125
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