Converting 47.965728 to a Fraction
Step-by-step explanation of how to convert 47.965728 to a fraction
Result
47.965728 =
1498929
31250
Mixed number:
47
30179
31250
Step 1: Identify the number of decimal places
The decimal 47.965728 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
47.965728 × 1000000 = 47965728
Step 3: Write as a fraction
47.965728 =
47965728
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47965728 and 1000000.
GCD(47965728, 1000000) = 32
Divide both the numerator and denominator by the GCD:
47965728
1000000
=
47965728 ÷ 32
1000000 ÷ 32
=
1498929
31250
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