Converting 40.76704 to a Fraction
Step-by-step explanation of how to convert 40.76704 to a fraction

Result

40.76704 =
127397
3125
Mixed number:
40
2397
3125

Step 1: Identify the number of decimal places

The decimal 40.76704 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.76704 × 100000 = 4076704

Step 3: Write as a fraction

40.76704 =

4076704
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4076704 and 100000.

GCD(4076704, 100000) = 32

Divide both the numerator and denominator by the GCD:

4076704
100000

=

4076704 ÷ 32
100000 ÷ 32

=

127397
3125
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