Converting 9.789824 to a Fraction
Step-by-step explanation of how to convert 9.789824 to a fraction
Result
9.789824 =
152966
15625
Mixed number:
9
12341
15625
Step 1: Identify the number of decimal places
The decimal 9.789824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
9.789824 × 1000000 = 9789824
Step 3: Write as a fraction
9.789824 =
9789824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9789824 and 1000000.
GCD(9789824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
9789824
1000000
=
9789824 ÷ 64
1000000 ÷ 64
=
152966
15625
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