Converting 1.4008 to a Fraction
Step-by-step explanation of how to convert 1.4008 to a fraction

Result

1.4008 =
1751
1250
Mixed number:
1
501
1250

Step 1: Identify the number of decimal places

The decimal 1.4008 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.4008 × 10000 = 14008

Step 3: Write as a fraction

1.4008 =

14008
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14008 and 10000.

GCD(14008, 10000) = 8

Divide both the numerator and denominator by the GCD:

14008
10000

=

14008 ÷ 8
10000 ÷ 8

=

1751
1250
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