Converting 9.78512 to a Fraction
Step-by-step explanation of how to convert 9.78512 to a fraction
Result
9.78512 =
61157
6250
Mixed number:
9
4907
6250
Step 1: Identify the number of decimal places
The decimal 9.78512 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
9.78512 × 100000 = 978512
Step 3: Write as a fraction
9.78512 =
978512
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 978512 and 100000.
GCD(978512, 100000) = 16
Divide both the numerator and denominator by the GCD:
978512
100000
=
978512 ÷ 16
100000 ÷ 16
=
61157
6250
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