Converting 40.959648 to a Fraction
Step-by-step explanation of how to convert 40.959648 to a fraction

Result

40.959648 =
1279989
31250
Mixed number:
40
29989
31250

Step 1: Identify the number of decimal places

The decimal 40.959648 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

40.959648 × 1000000 = 40959648

Step 3: Write as a fraction

40.959648 =

40959648
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40959648 and 1000000.

GCD(40959648, 1000000) = 32

Divide both the numerator and denominator by the GCD:

40959648
1000000

=

40959648 ÷ 32
1000000 ÷ 32

=

1279989
31250
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