Converting 0.782304 to a Fraction
Step-by-step explanation of how to convert 0.782304 to a fraction
Result
0.782304 =
24447
31250
Step 1: Identify the number of decimal places
The decimal 0.782304 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.782304 × 1000000 = 782304
Step 3: Write as a fraction
0.782304 =
782304
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 782304 and 1000000.
GCD(782304, 1000000) = 32
Divide both the numerator and denominator by the GCD:
782304
1000000
=
782304 ÷ 32
1000000 ÷ 32
=
24447
31250
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