Converting 0.77645 to a Fraction
Step-by-step explanation of how to convert 0.77645 to a fraction
Result
0.77645 =
15529
20000
Step 1: Identify the number of decimal places
The decimal 0.77645 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.77645 × 100000 = 77645
Step 3: Write as a fraction
0.77645 =
77645
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 77645 and 100000.
GCD(77645, 100000) = 5
Divide both the numerator and denominator by the GCD:
77645
100000
=
77645 ÷ 5
100000 ÷ 5
=
15529
20000
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