Converting 7.824312 to a Fraction
Step-by-step explanation of how to convert 7.824312 to a fraction
Result
7.824312 =
978039
125000
Mixed number:
7
103039
125000
Step 1: Identify the number of decimal places
The decimal 7.824312 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
7.824312 × 1000000 = 7824312
Step 3: Write as a fraction
7.824312 =
7824312
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7824312 and 1000000.
GCD(7824312, 1000000) = 8
Divide both the numerator and denominator by the GCD:
7824312
1000000
=
7824312 ÷ 8
1000000 ÷ 8
=
978039
125000
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