Converting 0.785664 to a Fraction
Step-by-step explanation of how to convert 0.785664 to a fraction
Result
0.785664 =
12276
15625
Step 1: Identify the number of decimal places
The decimal 0.785664 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.785664 × 1000000 = 785664
Step 3: Write as a fraction
0.785664 =
785664
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 785664 and 1000000.
GCD(785664, 1000000) = 64
Divide both the numerator and denominator by the GCD:
785664
1000000
=
785664 ÷ 64
1000000 ÷ 64
=
12276
15625
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