Converting 0.765625 to a Fraction
Step-by-step explanation of how to convert 0.765625 to a fraction
Result
0.765625 =
49
64
Step 1: Identify the number of decimal places
The decimal 0.765625 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.765625 × 1000000 = 765625
Step 3: Write as a fraction
0.765625 =
765625
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 765625 and 1000000.
GCD(765625, 1000000) = 15625
Divide both the numerator and denominator by the GCD:
765625
1000000
=
765625 ÷ 15625
1000000 ÷ 15625
=
49
64
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