Converting 47.978048 to a Fraction
Step-by-step explanation of how to convert 47.978048 to a fraction
Result
47.978048 =
749657
15625
Mixed number:
47
15282
15625
Step 1: Identify the number of decimal places
The decimal 47.978048 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
47.978048 × 1000000 = 47978048
Step 3: Write as a fraction
47.978048 =
47978048
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47978048 and 1000000.
GCD(47978048, 1000000) = 64
Divide both the numerator and denominator by the GCD:
47978048
1000000
=
47978048 ÷ 64
1000000 ÷ 64
=
749657
15625
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