Converting 40.7856 to a Fraction
Step-by-step explanation of how to convert 40.7856 to a fraction
Result
40.7856 =
25491
625
Mixed number:
40
491
625
Step 1: Identify the number of decimal places
The decimal 40.7856 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.7856 × 10000 = 407856
Step 3: Write as a fraction
40.7856 =
407856
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 407856 and 10000.
GCD(407856, 10000) = 16
Divide both the numerator and denominator by the GCD:
407856
10000
=
407856 ÷ 16
10000 ÷ 16
=
25491
625
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