Converting 3.78312 to a Fraction
Step-by-step explanation of how to convert 3.78312 to a fraction
Result
3.78312 =
47289
12500
Mixed number:
3
9789
12500
Step 1: Identify the number of decimal places
The decimal 3.78312 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.78312 × 100000 = 378312
Step 3: Write as a fraction
3.78312 =
378312
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 378312 and 100000.
GCD(378312, 100000) = 8
Divide both the numerator and denominator by the GCD:
378312
100000
=
378312 ÷ 8
100000 ÷ 8
=
47289
12500
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