Converting 0.407375 to a Fraction
Step-by-step explanation of how to convert 0.407375 to a fraction

Result

0.407375 =
3259
8000

Step 1: Identify the number of decimal places

The decimal 0.407375 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.407375 × 1000000 = 407375

Step 3: Write as a fraction

0.407375 =

407375
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 407375 and 1000000.

GCD(407375, 1000000) = 125

Divide both the numerator and denominator by the GCD:

407375
1000000

=

407375 ÷ 125
1000000 ÷ 125

=

3259
8000
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