Converting 40.7708 to a Fraction
Step-by-step explanation of how to convert 40.7708 to a fraction
Result
40.7708 =
101927
2500
Mixed number:
40
1927
2500
Step 1: Identify the number of decimal places
The decimal 40.7708 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.7708 × 10000 = 407708
Step 3: Write as a fraction
40.7708 =
407708
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 407708 and 10000.
GCD(407708, 10000) = 4
Divide both the numerator and denominator by the GCD:
407708
10000
=
407708 ÷ 4
10000 ÷ 4
=
101927
2500
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