Converting 47.70984 to a Fraction
Step-by-step explanation of how to convert 47.70984 to a fraction

Result

47.70984 =
596373
12500
Mixed number:
47
8873
12500

Step 1: Identify the number of decimal places

The decimal 47.70984 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.70984 × 100000 = 4770984

Step 3: Write as a fraction

47.70984 =

4770984
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4770984 and 100000.

GCD(4770984, 100000) = 8

Divide both the numerator and denominator by the GCD:

4770984
100000

=

4770984 ÷ 8
100000 ÷ 8

=

596373
12500
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