Converting 1.408375 to a Fraction
Step-by-step explanation of how to convert 1.408375 to a fraction

Result

1.408375 =
11267
8000
Mixed number:
1
3267
8000

Step 1: Identify the number of decimal places

The decimal 1.408375 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

1.408375 × 1000000 = 1408375

Step 3: Write as a fraction

1.408375 =

1408375
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1408375 and 1000000.

GCD(1408375, 1000000) = 125

Divide both the numerator and denominator by the GCD:

1408375
1000000

=

1408375 ÷ 125
1000000 ÷ 125

=

11267
8000
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