Converting 0.77832 to a Fraction
Step-by-step explanation of how to convert 0.77832 to a fraction
Result
0.77832 =
9729
12500
Step 1: Identify the number of decimal places
The decimal 0.77832 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.77832 × 100000 = 77832
Step 3: Write as a fraction
0.77832 =
77832
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 77832 and 100000.
GCD(77832, 100000) = 8
Divide both the numerator and denominator by the GCD:
77832
100000
=
77832 ÷ 8
100000 ÷ 8
=
9729
12500
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