Converting 1.4205 to a Fraction
Step-by-step explanation of how to convert 1.4205 to a fraction

Result

1.4205 =
2841
2000
Mixed number:
1
841
2000

Step 1: Identify the number of decimal places

The decimal 1.4205 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.4205 × 10000 = 14205

Step 3: Write as a fraction

1.4205 =

14205
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14205 and 10000.

GCD(14205, 10000) = 5

Divide both the numerator and denominator by the GCD:

14205
10000

=

14205 ÷ 5
10000 ÷ 5

=

2841
2000
Related Conversions
Other decimal to fraction conversions you might find useful