Converting 40.9712 to a Fraction
Step-by-step explanation of how to convert 40.9712 to a fraction
Result
40.9712 =
25607
625
Mixed number:
40
607
625
Step 1: Identify the number of decimal places
The decimal 40.9712 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.9712 × 10000 = 409712
Step 3: Write as a fraction
40.9712 =
409712
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 409712 and 10000.
GCD(409712, 10000) = 16
Divide both the numerator and denominator by the GCD:
409712
10000
=
409712 ÷ 16
10000 ÷ 16
=
25607
625
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