Converting 0.145536 to a Fraction
Step-by-step explanation of how to convert 0.145536 to a fraction

Result

0.145536 =
2274
15625

Step 1: Identify the number of decimal places

The decimal 0.145536 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.145536 × 1000000 = 145536

Step 3: Write as a fraction

0.145536 =

145536
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 145536 and 1000000.

GCD(145536, 1000000) = 64

Divide both the numerator and denominator by the GCD:

145536
1000000

=

145536 ÷ 64
1000000 ÷ 64

=

2274
15625
Related Conversions
Other decimal to fraction conversions you might find useful