Converting 0.747648 to a Fraction
Step-by-step explanation of how to convert 0.747648 to a fraction

Result

0.747648 =
11682
15625

Step 1: Identify the number of decimal places

The decimal 0.747648 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.747648 × 1000000 = 747648

Step 3: Write as a fraction

0.747648 =

747648
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 747648 and 1000000.

GCD(747648, 1000000) = 64

Divide both the numerator and denominator by the GCD:

747648
1000000

=

747648 ÷ 64
1000000 ÷ 64

=

11682
15625
Related Conversions
Other decimal to fraction conversions you might find useful