Converting 47.967296 to a Fraction
Step-by-step explanation of how to convert 47.967296 to a fraction
Result
47.967296 =
749489
15625
Mixed number:
47
15114
15625
Step 1: Identify the number of decimal places
The decimal 47.967296 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
47.967296 × 1000000 = 47967296
Step 3: Write as a fraction
47.967296 =
47967296
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47967296 and 1000000.
GCD(47967296, 1000000) = 64
Divide both the numerator and denominator by the GCD:
47967296
1000000
=
47967296 ÷ 64
1000000 ÷ 64
=
749489
15625
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