Converting 40.77688 to a Fraction
Step-by-step explanation of how to convert 40.77688 to a fraction

Result

40.77688 =
509711
12500
Mixed number:
40
9711
12500

Step 1: Identify the number of decimal places

The decimal 40.77688 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.77688 × 100000 = 4077688

Step 3: Write as a fraction

40.77688 =

4077688
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4077688 and 100000.

GCD(4077688, 100000) = 8

Divide both the numerator and denominator by the GCD:

4077688
100000

=

4077688 ÷ 8
100000 ÷ 8

=

509711
12500
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