Converting 75.84928 to a Fraction
Step-by-step explanation of how to convert 75.84928 to a fraction

Result

75.84928 =
237029
3125
Mixed number:
75
2654
3125

Step 1: Identify the number of decimal places

The decimal 75.84928 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

75.84928 × 100000 = 7584928

Step 3: Write as a fraction

75.84928 =

7584928
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7584928 and 100000.

GCD(7584928, 100000) = 32

Divide both the numerator and denominator by the GCD:

7584928
100000

=

7584928 ÷ 32
100000 ÷ 32

=

237029
3125
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