Converting 40.7108 to a Fraction
Step-by-step explanation of how to convert 40.7108 to a fraction
Result
40.7108 =
101777
2500
Mixed number:
40
1777
2500
Step 1: Identify the number of decimal places
The decimal 40.7108 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.7108 × 10000 = 407108
Step 3: Write as a fraction
40.7108 =
407108
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 407108 and 10000.
GCD(407108, 10000) = 4
Divide both the numerator and denominator by the GCD:
407108
10000
=
407108 ÷ 4
10000 ÷ 4
=
101777
2500
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