Converting 75.2664 to a Fraction
Step-by-step explanation of how to convert 75.2664 to a fraction

Result

75.2664 =
94083
1250
Mixed number:
75
333
1250

Step 1: Identify the number of decimal places

The decimal 75.2664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

75.2664 × 10000 = 752664

Step 3: Write as a fraction

75.2664 =

752664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 752664 and 10000.

GCD(752664, 10000) = 8

Divide both the numerator and denominator by the GCD:

752664
10000

=

752664 ÷ 8
10000 ÷ 8

=

94083
1250
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