Converting 40.987424 to a Fraction
Step-by-step explanation of how to convert 40.987424 to a fraction

Result

40.987424 =
1280857
31250
Mixed number:
40
30857
31250

Step 1: Identify the number of decimal places

The decimal 40.987424 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

40.987424 × 1000000 = 40987424

Step 3: Write as a fraction

40.987424 =

40987424
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40987424 and 1000000.

GCD(40987424, 1000000) = 32

Divide both the numerator and denominator by the GCD:

40987424
1000000

=

40987424 ÷ 32
1000000 ÷ 32

=

1280857
31250
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