Converting 47.74944 to a Fraction
Step-by-step explanation of how to convert 47.74944 to a fraction
Result
47.74944 =
149217
3125
Mixed number:
47
2342
3125
Step 1: Identify the number of decimal places
The decimal 47.74944 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.74944 × 100000 = 4774944
Step 3: Write as a fraction
47.74944 =
4774944
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4774944 and 100000.
GCD(4774944, 100000) = 32
Divide both the numerator and denominator by the GCD:
4774944
100000
=
4774944 ÷ 32
100000 ÷ 32
=
149217
3125
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