Converting 40.689824 to a Fraction
Step-by-step explanation of how to convert 40.689824 to a fraction

Result

40.689824 =
1271557
31250
Mixed number:
40
21557
31250

Step 1: Identify the number of decimal places

The decimal 40.689824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

40.689824 × 1000000 = 40689824

Step 3: Write as a fraction

40.689824 =

40689824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40689824 and 1000000.

GCD(40689824, 1000000) = 32

Divide both the numerator and denominator by the GCD:

40689824
1000000

=

40689824 ÷ 32
1000000 ÷ 32

=

1271557
31250
Related Conversions
Other decimal to fraction conversions you might find useful