Converting 7.825224 to a Fraction
Step-by-step explanation of how to convert 7.825224 to a fraction
Result
7.825224 =
978153
125000
Mixed number:
7
103153
125000
Step 1: Identify the number of decimal places
The decimal 7.825224 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
7.825224 × 1000000 = 7825224
Step 3: Write as a fraction
7.825224 =
7825224
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7825224 and 1000000.
GCD(7825224, 1000000) = 8
Divide both the numerator and denominator by the GCD:
7825224
1000000
=
7825224 ÷ 8
1000000 ÷ 8
=
978153
125000
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