Converting 4.02375 to a Fraction
Step-by-step explanation of how to convert 4.02375 to a fraction

Result

4.02375 =
3219
800
Mixed number:
4
19
800

Step 1: Identify the number of decimal places

The decimal 4.02375 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.02375 × 100000 = 402375

Step 3: Write as a fraction

4.02375 =

402375
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 402375 and 100000.

GCD(402375, 100000) = 125

Divide both the numerator and denominator by the GCD:

402375
100000

=

402375 ÷ 125
100000 ÷ 125

=

3219
800
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