Converting 40.84896 to a Fraction
Step-by-step explanation of how to convert 40.84896 to a fraction

Result

40.84896 =
127653
3125
Mixed number:
40
2653
3125

Step 1: Identify the number of decimal places

The decimal 40.84896 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.84896 × 100000 = 4084896

Step 3: Write as a fraction

40.84896 =

4084896
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4084896 and 100000.

GCD(4084896, 100000) = 32

Divide both the numerator and denominator by the GCD:

4084896
100000

=

4084896 ÷ 32
100000 ÷ 32

=

127653
3125
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