Converting 3.78528 to a Fraction
Step-by-step explanation of how to convert 3.78528 to a fraction
Result
3.78528 =
11829
3125
Mixed number:
3
2454
3125
Step 1: Identify the number of decimal places
The decimal 3.78528 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.78528 × 100000 = 378528
Step 3: Write as a fraction
3.78528 =
378528
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 378528 and 100000.
GCD(378528, 100000) = 32
Divide both the numerator and denominator by the GCD:
378528
100000
=
378528 ÷ 32
100000 ÷ 32
=
11829
3125
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