Converting 47.76384 to a Fraction
Step-by-step explanation of how to convert 47.76384 to a fraction
Result
47.76384 =
149262
3125
Mixed number:
47
2387
3125
Step 1: Identify the number of decimal places
The decimal 47.76384 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.76384 × 100000 = 4776384
Step 3: Write as a fraction
47.76384 =
4776384
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4776384 and 100000.
GCD(4776384, 100000) = 32
Divide both the numerator and denominator by the GCD:
4776384
100000
=
4776384 ÷ 32
100000 ÷ 32
=
149262
3125
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