Converting 0.9536 to a Fraction
Step-by-step explanation of how to convert 0.9536 to a fraction

Result

0.9536 =
596
625

Step 1: Identify the number of decimal places

The decimal 0.9536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.9536 × 10000 = 9536

Step 3: Write as a fraction

0.9536 =

9536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9536 and 10000.

GCD(9536, 10000) = 16

Divide both the numerator and denominator by the GCD:

9536
10000

=

9536 ÷ 16
10000 ÷ 16

=

596
625
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