Converting 0.1486 to a Fraction
Step-by-step explanation of how to convert 0.1486 to a fraction

Result

0.1486 =
743
5000

Step 1: Identify the number of decimal places

The decimal 0.1486 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1486 × 10000 = 1486

Step 3: Write as a fraction

0.1486 =

1486
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1486 and 10000.

GCD(1486, 10000) = 2

Divide both the numerator and denominator by the GCD:

1486
10000

=

1486 ÷ 2
10000 ÷ 2

=

743
5000
Related Conversions
Other decimal to fraction conversions you might find useful